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Finding the Fourth Proportional to 765.18, 1,146.72 and 353.40

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Solution

The fourth proportional to 765.18, 1,146.72 and 353.40 is: 529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.18 : 1,146.72 = 353.40 : x
  2. Step 2: Convert to fraction form
    765.18/1,146.72 = 353.40/x
  3. Step 3: Cross multiply
    765.18x = 1,146.72 × 353.40
  4. Step 4: Simplify right side
    765.18x = 405,250.85
  5. Step 5: Solve for x
    x = 405,250.85/765.18
  6. Step 6: Final answer
    x = 529.62

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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.