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Finding the Fourth Proportional to 733.54, 1,094.12 and 624.10

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Solution

The fourth proportional to 733.54, 1,094.12 and 624.10 is: 930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.54 : 1,094.12 = 624.10 : x
  2. Step 2: Convert to fraction form
    733.54/1,094.12 = 624.10/x
  3. Step 3: Cross multiply
    733.54x = 1,094.12 × 624.10
  4. Step 4: Simplify right side
    733.54x = 682,840.29
  5. Step 5: Solve for x
    x = 682,840.29/733.54
  6. Step 6: Final answer
    x = 930.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.