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Finding the Fourth Proportional to 1,003.92, 1,506.14 and 387.46

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Solution

The fourth proportional to 1,003.92, 1,506.14 and 387.46 is: 581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.92 : 1,506.14 = 387.46 : x
  2. Step 2: Convert to fraction form
    1,003.92/1,506.14 = 387.46/x
  3. Step 3: Cross multiply
    1,003.92x = 1,506.14 × 387.46
  4. Step 4: Simplify right side
    1,003.92x = 583,565.08
  5. Step 5: Solve for x
    x = 583,565.08/1,003.92
  6. Step 6: Final answer
    x = 581.29

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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.