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Finding the Fourth Proportional to 1,124.29, 1,687.05 and 507.95

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Solution

The fourth proportional to 1,124.29, 1,687.05 and 507.95 is: 762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.29 : 1,687.05 = 507.95 : x
  2. Step 2: Convert to fraction form
    1,124.29/1,687.05 = 507.95/x
  3. Step 3: Cross multiply
    1,124.29x = 1,687.05 × 507.95
  4. Step 4: Simplify right side
    1,124.29x = 856,931.62
  5. Step 5: Solve for x
    x = 856,931.62/1,124.29
  6. Step 6: Final answer
    x = 762.20

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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.