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Finding the Fourth Proportional to 885.56, 1,223.17 and 624.74

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Solution

The fourth proportional to 885.56, 1,223.17 and 624.74 is: 862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.56 : 1,223.17 = 624.74 : x
  2. Step 2: Convert to fraction form
    885.56/1,223.17 = 624.74/x
  3. Step 3: Cross multiply
    885.56x = 1,223.17 × 624.74
  4. Step 4: Simplify right side
    885.56x = 764,157.11
  5. Step 5: Solve for x
    x = 764,157.11/885.56
  6. Step 6: Final answer
    x = 862.91

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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.