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Finding the Fourth Proportional to 749.54, 1,124.70 and 425.54

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Solution

The fourth proportional to 749.54, 1,124.70 and 425.54 is: 638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.54 : 1,124.70 = 425.54 : x
  2. Step 2: Convert to fraction form
    749.54/1,124.70 = 425.54/x
  3. Step 3: Cross multiply
    749.54x = 1,124.70 × 425.54
  4. Step 4: Simplify right side
    749.54x = 478,604.84
  5. Step 5: Solve for x
    x = 478,604.84/749.54
  6. Step 6: Final answer
    x = 638.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.