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Finding the Fourth Proportional to 772.15, 1,156.20 and 565.60

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Solution

The fourth proportional to 772.15, 1,156.20 and 565.60 is: 846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.15 : 1,156.20 = 565.60 : x
  2. Step 2: Convert to fraction form
    772.15/1,156.20 = 565.60/x
  3. Step 3: Cross multiply
    772.15x = 1,156.20 × 565.60
  4. Step 4: Simplify right side
    772.15x = 653,946.72
  5. Step 5: Solve for x
    x = 653,946.72/772.15
  6. Step 6: Final answer
    x = 846.92

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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.