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Finding the Fourth Proportional to 1,006.29, 1,508.69 and 312.56

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Solution

The fourth proportional to 1,006.29, 1,508.69 and 312.56 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.29 : 1,508.69 = 312.56 : x
  2. Step 2: Convert to fraction form
    1,006.29/1,508.69 = 312.56/x
  3. Step 3: Cross multiply
    1,006.29x = 1,508.69 × 312.56
  4. Step 4: Simplify right side
    1,006.29x = 471,555.04
  5. Step 5: Solve for x
    x = 471,555.04/1,006.29
  6. Step 6: Final answer
    x = 468.61

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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.