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Finding the Fourth Proportional to 997.55, 1,376.47 and 624.40

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Solution

The fourth proportional to 997.55, 1,376.47 and 624.40 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.55 : 1,376.47 = 624.40 : x
  2. Step 2: Convert to fraction form
    997.55/1,376.47 = 624.40/x
  3. Step 3: Cross multiply
    997.55x = 1,376.47 × 624.40
  4. Step 4: Simplify right side
    997.55x = 859,467.87
  5. Step 5: Solve for x
    x = 859,467.87/997.55
  6. Step 6: Final answer
    x = 861.58

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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.