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Finding the Fourth Proportional to 1,248.06, 1,872.33 and 478.50

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Solution

The fourth proportional to 1,248.06, 1,872.33 and 478.50 is: 717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.06 : 1,872.33 = 478.50 : x
  2. Step 2: Convert to fraction form
    1,248.06/1,872.33 = 478.50/x
  3. Step 3: Cross multiply
    1,248.06x = 1,872.33 × 478.50
  4. Step 4: Simplify right side
    1,248.06x = 895,909.91
  5. Step 5: Solve for x
    x = 895,909.91/1,248.06
  6. Step 6: Final answer
    x = 717.84

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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.