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Finding the Fourth Proportional to 765.97, 1,148.68 and 355.03

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Solution

The fourth proportional to 765.97, 1,148.68 and 355.03 is: 532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.97 : 1,148.68 = 355.03 : x
  2. Step 2: Convert to fraction form
    765.97/1,148.68 = 355.03/x
  3. Step 3: Cross multiply
    765.97x = 1,148.68 × 355.03
  4. Step 4: Simplify right side
    765.97x = 407,808.34
  5. Step 5: Solve for x
    x = 407,808.34/765.97
  6. Step 6: Final answer
    x = 532.41

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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.