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Finding the Fourth Proportional to 1,147.98, 1,584.13 and 624

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Solution

The fourth proportional to 1,147.98, 1,584.13 and 624 is: 861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.98 : 1,584.13 = 624 : x
  2. Step 2: Convert to fraction form
    1,147.98/1,584.13 = 624/x
  3. Step 3: Cross multiply
    1,147.98x = 1,584.13 × 624
  4. Step 4: Simplify right side
    1,147.98x = 988,497.12
  5. Step 5: Solve for x
    x = 988,497.12/1,147.98
  6. Step 6: Final answer
    x = 861.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.