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Finding the Fourth Proportional to 1,006.27, 1,508.76 and 595.53

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Solution

The fourth proportional to 1,006.27, 1,508.76 and 595.53 is: 892.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.27 : 1,508.76 = 595.53 : x
  2. Step 2: Convert to fraction form
    1,006.27/1,508.76 = 595.53/x
  3. Step 3: Cross multiply
    1,006.27x = 1,508.76 × 595.53
  4. Step 4: Simplify right side
    1,006.27x = 898,511.84
  5. Step 5: Solve for x
    x = 898,511.84/1,006.27
  6. Step 6: Final answer
    x = 892.92

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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.