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Finding the Fourth Proportional to 1,006.10, 1,508.75 and 389.83

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Solution

The fourth proportional to 1,006.10, 1,508.75 and 389.83 is: 584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.10 : 1,508.75 = 389.83 : x
  2. Step 2: Convert to fraction form
    1,006.10/1,508.75 = 389.83/x
  3. Step 3: Cross multiply
    1,006.10x = 1,508.75 × 389.83
  4. Step 4: Simplify right side
    1,006.10x = 588,146.52
  5. Step 5: Solve for x
    x = 588,146.52/1,006.10
  6. Step 6: Final answer
    x = 584.58

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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.