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Finding the Fourth Proportional to 771.32, 1,154.45 and 565.83

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Solution

The fourth proportional to 771.32, 1,154.45 and 565.83 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.32 : 1,154.45 = 565.83 : x
  2. Step 2: Convert to fraction form
    771.32/1,154.45 = 565.83/x
  3. Step 3: Cross multiply
    771.32x = 1,154.45 × 565.83
  4. Step 4: Simplify right side
    771.32x = 653,219.61
  5. Step 5: Solve for x
    x = 653,219.61/771.32
  6. Step 6: Final answer
    x = 846.89

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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.