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Finding the Fourth Proportional to 1,422.71, 2,134.07 and 498.26

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Solution

The fourth proportional to 1,422.71, 2,134.07 and 498.26 is: 747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.71 : 2,134.07 = 498.26 : x
  2. Step 2: Convert to fraction form
    1,422.71/2,134.07 = 498.26/x
  3. Step 3: Cross multiply
    1,422.71x = 2,134.07 × 498.26
  4. Step 4: Simplify right side
    1,422.71x = 1,063,328.30
  5. Step 5: Solve for x
    x = 1,063,328.30/1,422.71
  6. Step 6: Final answer
    x = 747.40

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Why These Related Problems?

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