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Finding the Fourth Proportional to 1,233.84, 1,849.26 and 503.04

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Solution

The fourth proportional to 1,233.84, 1,849.26 and 503.04 is: 753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.84 : 1,849.26 = 503.04 : x
  2. Step 2: Convert to fraction form
    1,233.84/1,849.26 = 503.04/x
  3. Step 3: Cross multiply
    1,233.84x = 1,849.26 × 503.04
  4. Step 4: Simplify right side
    1,233.84x = 930,251.75
  5. Step 5: Solve for x
    x = 930,251.75/1,233.84
  6. Step 6: Final answer
    x = 753.95

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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.