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Finding the Fourth Proportional to 1,422.36, 2,132.85 and 497.88

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Solution

The fourth proportional to 1,422.36, 2,132.85 and 497.88 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.36 : 2,132.85 = 497.88 : x
  2. Step 2: Convert to fraction form
    1,422.36/2,132.85 = 497.88/x
  3. Step 3: Cross multiply
    1,422.36x = 2,132.85 × 497.88
  4. Step 4: Simplify right side
    1,422.36x = 1,061,903.36
  5. Step 5: Solve for x
    x = 1,061,903.36/1,422.36
  6. Step 6: Final answer
    x = 746.58

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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.