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Finding the Fourth Proportional to 1,233.48, 1,850.52 and 503.16

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Solution

The fourth proportional to 1,233.48, 1,850.52 and 503.16 is: 754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.48 : 1,850.52 = 503.16 : x
  2. Step 2: Convert to fraction form
    1,233.48/1,850.52 = 503.16/x
  3. Step 3: Cross multiply
    1,233.48x = 1,850.52 × 503.16
  4. Step 4: Simplify right side
    1,233.48x = 931,107.64
  5. Step 5: Solve for x
    x = 931,107.64/1,233.48
  6. Step 6: Final answer
    x = 754.86

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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.