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Finding the Fourth Proportional to 738.42, 1,019.34 and 517.38

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Solution

The fourth proportional to 738.42, 1,019.34 and 517.38 is: 714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.42 : 1,019.34 = 517.38 : x
  2. Step 2: Convert to fraction form
    738.42/1,019.34 = 517.38/x
  3. Step 3: Cross multiply
    738.42x = 1,019.34 × 517.38
  4. Step 4: Simplify right side
    738.42x = 527,386.13
  5. Step 5: Solve for x
    x = 527,386.13/738.42
  6. Step 6: Final answer
    x = 714.21

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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.