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Finding the Fourth Proportional to 1,445.27, 2,167.61 and 520.83

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Solution

The fourth proportional to 1,445.27, 2,167.61 and 520.83 is: 781.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.27 : 2,167.61 = 520.83 : x
  2. Step 2: Convert to fraction form
    1,445.27/2,167.61 = 520.83/x
  3. Step 3: Cross multiply
    1,445.27x = 2,167.61 × 520.83
  4. Step 4: Simplify right side
    1,445.27x = 1,128,953.71
  5. Step 5: Solve for x
    x = 1,128,953.71/1,445.27
  6. Step 6: Final answer
    x = 781.14

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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.