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Finding the Fourth Proportional to 1,124.29, 1,686.03 and 430.61

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Solution

The fourth proportional to 1,124.29, 1,686.03 and 430.61 is: 645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.29 : 1,686.03 = 430.61 : x
  2. Step 2: Convert to fraction form
    1,124.29/1,686.03 = 430.61/x
  3. Step 3: Cross multiply
    1,124.29x = 1,686.03 × 430.61
  4. Step 4: Simplify right side
    1,124.29x = 726,011.33
  5. Step 5: Solve for x
    x = 726,011.33/1,124.29
  6. Step 6: Final answer
    x = 645.75

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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.