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Finding the Fourth Proportional to 1,006.38, 1,509.14 and 312.88

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Solution

The fourth proportional to 1,006.38, 1,509.14 and 312.88 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.38 : 1,509.14 = 312.88 : x
  2. Step 2: Convert to fraction form
    1,006.38/1,509.14 = 312.88/x
  3. Step 3: Cross multiply
    1,006.38x = 1,509.14 × 312.88
  4. Step 4: Simplify right side
    1,006.38x = 472,179.72
  5. Step 5: Solve for x
    x = 472,179.72/1,006.38
  6. Step 6: Final answer
    x = 469.19

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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.