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Finding the Fourth Proportional to 734.72, 1,014.57 and 473.19

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Solution

The fourth proportional to 734.72, 1,014.57 and 473.19 is: 653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,014.57 = 473.19 : x
  2. Step 2: Convert to fraction form
    734.72/1,014.57 = 473.19/x
  3. Step 3: Cross multiply
    734.72x = 1,014.57 × 473.19
  4. Step 4: Simplify right side
    734.72x = 480,084.38
  5. Step 5: Solve for x
    x = 480,084.38/734.72
  6. Step 6: Final answer
    x = 653.43

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.