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Finding the Fourth Proportional to 1,422.82, 2,135.04 and 498.58

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Solution

The fourth proportional to 1,422.82, 2,135.04 and 498.58 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.82 : 2,135.04 = 498.58 : x
  2. Step 2: Convert to fraction form
    1,422.82/2,135.04 = 498.58/x
  3. Step 3: Cross multiply
    1,422.82x = 2,135.04 × 498.58
  4. Step 4: Simplify right side
    1,422.82x = 1,064,488.24
  5. Step 5: Solve for x
    x = 1,064,488.24/1,422.82
  6. Step 6: Final answer
    x = 748.15

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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.