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Finding the Fourth Proportional to 1,151.88, 1,727.84 and 502.12

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Solution

The fourth proportional to 1,151.88, 1,727.84 and 502.12 is: 753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.88 : 1,727.84 = 502.12 : x
  2. Step 2: Convert to fraction form
    1,151.88/1,727.84 = 502.12/x
  3. Step 3: Cross multiply
    1,151.88x = 1,727.84 × 502.12
  4. Step 4: Simplify right side
    1,151.88x = 867,583.02
  5. Step 5: Solve for x
    x = 867,583.02/1,151.88
  6. Step 6: Final answer
    x = 753.19

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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.