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Finding the Fourth Proportional to 1,233.76, 1,850.70 and 502.93

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Solution

The fourth proportional to 1,233.76, 1,850.70 and 502.93 is: 754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.76 : 1,850.70 = 502.93 : x
  2. Step 2: Convert to fraction form
    1,233.76/1,850.70 = 502.93/x
  3. Step 3: Cross multiply
    1,233.76x = 1,850.70 × 502.93
  4. Step 4: Simplify right side
    1,233.76x = 930,772.55
  5. Step 5: Solve for x
    x = 930,772.55/1,233.76
  6. Step 6: Final answer
    x = 754.42

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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.