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Finding the Fourth Proportional to 765.18, 1,146.42 and 457.38

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Solution

The fourth proportional to 765.18, 1,146.42 and 457.38 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.18 : 1,146.42 = 457.38 : x
  2. Step 2: Convert to fraction form
    765.18/1,146.42 = 457.38/x
  3. Step 3: Cross multiply
    765.18x = 1,146.42 × 457.38
  4. Step 4: Simplify right side
    765.18x = 524,349.58
  5. Step 5: Solve for x
    x = 524,349.58/765.18
  6. Step 6: Final answer
    x = 685.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.