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Finding the Fourth Proportional to 1,124.01, 1,685.61 and 430.87

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Solution

The fourth proportional to 1,124.01, 1,685.61 and 430.87 is: 646.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.01 : 1,685.61 = 430.87 : x
  2. Step 2: Convert to fraction form
    1,124.01/1,685.61 = 430.87/x
  3. Step 3: Cross multiply
    1,124.01x = 1,685.61 × 430.87
  4. Step 4: Simplify right side
    1,124.01x = 726,278.78
  5. Step 5: Solve for x
    x = 726,278.78/1,124.01
  6. Step 6: Final answer
    x = 646.15

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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.