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Finding the Fourth Proportional to 1,006.13, 1,508.27 and 595.17

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Solution

The fourth proportional to 1,006.13, 1,508.27 and 595.17 is: 892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,508.27 = 595.17 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,508.27 = 595.17/x
  3. Step 3: Cross multiply
    1,006.13x = 1,508.27 × 595.17
  4. Step 4: Simplify right side
    1,006.13x = 897,674.08
  5. Step 5: Solve for x
    x = 897,674.08/1,006.13
  6. Step 6: Final answer
    x = 892.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.