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Finding the Fourth Proportional to 1,418.80, 2,126.92 and 494.17

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Solution

The fourth proportional to 1,418.80, 2,126.92 and 494.17 is: 740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.80 : 2,126.92 = 494.17 : x
  2. Step 2: Convert to fraction form
    1,418.80/2,126.92 = 494.17/x
  3. Step 3: Cross multiply
    1,418.80x = 2,126.92 × 494.17
  4. Step 4: Simplify right side
    1,418.80x = 1,051,053.50
  5. Step 5: Solve for x
    x = 1,051,053.50/1,418.80
  6. Step 6: Final answer
    x = 740.81

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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.