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Finding the Fourth Proportional to 765.38, 1,146.04 and 400.07

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Solution

The fourth proportional to 765.38, 1,146.04 and 400.07 is: 599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.38 : 1,146.04 = 400.07 : x
  2. Step 2: Convert to fraction form
    765.38/1,146.04 = 400.07/x
  3. Step 3: Cross multiply
    765.38x = 1,146.04 × 400.07
  4. Step 4: Simplify right side
    765.38x = 458,496.22
  5. Step 5: Solve for x
    x = 458,496.22/765.38
  6. Step 6: Final answer
    x = 599.04

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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.