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Finding the Fourth Proportional to 1,447.12, 2,170.59 and 624.82

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Solution

The fourth proportional to 1,447.12, 2,170.59 and 624.82 is: 937.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.12 : 2,170.59 = 624.82 : x
  2. Step 2: Convert to fraction form
    1,447.12/2,170.59 = 624.82/x
  3. Step 3: Cross multiply
    1,447.12x = 2,170.59 × 624.82
  4. Step 4: Simplify right side
    1,447.12x = 1,356,217.19
  5. Step 5: Solve for x
    x = 1,356,217.19/1,447.12
  6. Step 6: Final answer
    x = 937.18

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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.