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Finding the Fourth Proportional to 765.16, 1,147.76 and 582.88

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Solution

The fourth proportional to 765.16, 1,147.76 and 582.88 is: 874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.16 : 1,147.76 = 582.88 : x
  2. Step 2: Convert to fraction form
    765.16/1,147.76 = 582.88/x
  3. Step 3: Cross multiply
    765.16x = 1,147.76 × 582.88
  4. Step 4: Simplify right side
    765.16x = 669,006.35
  5. Step 5: Solve for x
    x = 669,006.35/765.16
  6. Step 6: Final answer
    x = 874.34

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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.