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Finding the Fourth Proportional to 1,124.50, 1,686.67 and 394.13

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Solution

The fourth proportional to 1,124.50, 1,686.67 and 394.13 is: 591.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.50 : 1,686.67 = 394.13 : x
  2. Step 2: Convert to fraction form
    1,124.50/1,686.67 = 394.13/x
  3. Step 3: Cross multiply
    1,124.50x = 1,686.67 × 394.13
  4. Step 4: Simplify right side
    1,124.50x = 664,757.83
  5. Step 5: Solve for x
    x = 664,757.83/1,124.50
  6. Step 6: Final answer
    x = 591.16

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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.