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Finding the Fourth Proportional to 1,422.64, 2,133.96 and 498.23

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Solution

The fourth proportional to 1,422.64, 2,133.96 and 498.23 is: 747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.64 : 2,133.96 = 498.23 : x
  2. Step 2: Convert to fraction form
    1,422.64/2,133.96 = 498.23/x
  3. Step 3: Cross multiply
    1,422.64x = 2,133.96 × 498.23
  4. Step 4: Simplify right side
    1,422.64x = 1,063,202.89
  5. Step 5: Solve for x
    x = 1,063,202.89/1,422.64
  6. Step 6: Final answer
    x = 747.35

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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.