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Finding the Fourth Proportional to 765.21, 1,149.17 and 570.27

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Solution

The fourth proportional to 765.21, 1,149.17 and 570.27 is: 856.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.21 : 1,149.17 = 570.27 : x
  2. Step 2: Convert to fraction form
    765.21/1,149.17 = 570.27/x
  3. Step 3: Cross multiply
    765.21x = 1,149.17 × 570.27
  4. Step 4: Simplify right side
    765.21x = 655,337.18
  5. Step 5: Solve for x
    x = 655,337.18/765.21
  6. Step 6: Final answer
    x = 856.41

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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.