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Finding the Fourth Proportional to 1,006.80, 1,508.40 and 520.24

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Solution

The fourth proportional to 1,006.80, 1,508.40 and 520.24 is: 779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.80 : 1,508.40 = 520.24 : x
  2. Step 2: Convert to fraction form
    1,006.80/1,508.40 = 520.24/x
  3. Step 3: Cross multiply
    1,006.80x = 1,508.40 × 520.24
  4. Step 4: Simplify right side
    1,006.80x = 784,730.02
  5. Step 5: Solve for x
    x = 784,730.02/1,006.80
  6. Step 6: Final answer
    x = 779.43

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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.