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Finding the Fourth Proportional to 1,422.46, 2,133.57 and 497.95

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Solution

The fourth proportional to 1,422.46, 2,133.57 and 497.95 is: 746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.46 : 2,133.57 = 497.95 : x
  2. Step 2: Convert to fraction form
    1,422.46/2,133.57 = 497.95/x
  3. Step 3: Cross multiply
    1,422.46x = 2,133.57 × 497.95
  4. Step 4: Simplify right side
    1,422.46x = 1,062,407.71
  5. Step 5: Solve for x
    x = 1,062,407.71/1,422.46
  6. Step 6: Final answer
    x = 746.88

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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.