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Finding the Fourth Proportional to 1,122.46, 1,681.56 and 635.85

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Solution

The fourth proportional to 1,122.46, 1,681.56 and 635.85 is: 952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.46 : 1,681.56 = 635.85 : x
  2. Step 2: Convert to fraction form
    1,122.46/1,681.56 = 635.85/x
  3. Step 3: Cross multiply
    1,122.46x = 1,681.56 × 635.85
  4. Step 4: Simplify right side
    1,122.46x = 1,069,219.93
  5. Step 5: Solve for x
    x = 1,069,219.93/1,122.46
  6. Step 6: Final answer
    x = 952.57

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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.