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Finding the Fourth Proportional to 734.92, 1,014.88 and 473.40

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Solution

The fourth proportional to 734.92, 1,014.88 and 473.40 is: 653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.92 : 1,014.88 = 473.40 : x
  2. Step 2: Convert to fraction form
    734.92/1,014.88 = 473.40/x
  3. Step 3: Cross multiply
    734.92x = 1,014.88 × 473.40
  4. Step 4: Simplify right side
    734.92x = 480,444.19
  5. Step 5: Solve for x
    x = 480,444.19/734.92
  6. Step 6: Final answer
    x = 653.74

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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.