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Finding the Fourth Proportional to 734.90, 1,014.19 and 440.42

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Solution

The fourth proportional to 734.90, 1,014.19 and 440.42 is: 607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.90 : 1,014.19 = 440.42 : x
  2. Step 2: Convert to fraction form
    734.90/1,014.19 = 440.42/x
  3. Step 3: Cross multiply
    734.90x = 1,014.19 × 440.42
  4. Step 4: Simplify right side
    734.90x = 446,663.39
  5. Step 5: Solve for x
    x = 446,663.39/734.90
  6. Step 6: Final answer
    x = 607.79

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Half scale
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Double scale
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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.