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Finding the Fourth Proportional to 765.59, 1,147.53 and 400.42

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Solution

The fourth proportional to 765.59, 1,147.53 and 400.42 is: 600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.59 : 1,147.53 = 400.42 : x
  2. Step 2: Convert to fraction form
    765.59/1,147.53 = 400.42/x
  3. Step 3: Cross multiply
    765.59x = 1,147.53 × 400.42
  4. Step 4: Simplify right side
    765.59x = 459,488.22
  5. Step 5: Solve for x
    x = 459,488.22/765.59
  6. Step 6: Final answer
    x = 600.18

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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.