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Finding the Fourth Proportional to 765.86, 1,148.79 and 332.78

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Solution

The fourth proportional to 765.86, 1,148.79 and 332.78 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.86 : 1,148.79 = 332.78 : x
  2. Step 2: Convert to fraction form
    765.86/1,148.79 = 332.78/x
  3. Step 3: Cross multiply
    765.86x = 1,148.79 × 332.78
  4. Step 4: Simplify right side
    765.86x = 382,294.34
  5. Step 5: Solve for x
    x = 382,294.34/765.86
  6. Step 6: Final answer
    x = 499.17

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