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Finding the Fourth Proportional to 749.59, 1,124.08 and 442.06

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Solution

The fourth proportional to 749.59, 1,124.08 and 442.06 is: 662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.59 : 1,124.08 = 442.06 : x
  2. Step 2: Convert to fraction form
    749.59/1,124.08 = 442.06/x
  3. Step 3: Cross multiply
    749.59x = 1,124.08 × 442.06
  4. Step 4: Simplify right side
    749.59x = 496,906.89
  5. Step 5: Solve for x
    x = 496,906.89/749.59
  6. Step 6: Final answer
    x = 662.91

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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.