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Finding the Fourth Proportional to 1,422.56, 2,134.15 and 498.86

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Solution

The fourth proportional to 1,422.56, 2,134.15 and 498.86 is: 748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.56 : 2,134.15 = 498.86 : x
  2. Step 2: Convert to fraction form
    1,422.56/2,134.15 = 498.86/x
  3. Step 3: Cross multiply
    1,422.56x = 2,134.15 × 498.86
  4. Step 4: Simplify right side
    1,422.56x = 1,064,638.15
  5. Step 5: Solve for x
    x = 1,064,638.15/1,422.56
  6. Step 6: Final answer
    x = 748.39

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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.