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Finding the Fourth Proportional to 749.61, 1,122.48 and 425.16

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Solution

The fourth proportional to 749.61, 1,122.48 and 425.16 is: 636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.61 : 1,122.48 = 425.16 : x
  2. Step 2: Convert to fraction form
    749.61/1,122.48 = 425.16/x
  3. Step 3: Cross multiply
    749.61x = 1,122.48 × 425.16
  4. Step 4: Simplify right side
    749.61x = 477,233.60
  5. Step 5: Solve for x
    x = 477,233.60/749.61
  6. Step 6: Final answer
    x = 636.64

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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.