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Finding the Fourth Proportional to 1,494.68, 2,239.72 and 801.44

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Solution

The fourth proportional to 1,494.68, 2,239.72 and 801.44 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.68 : 2,239.72 = 801.44 : x
  2. Step 2: Convert to fraction form
    1,494.68/2,239.72 = 801.44/x
  3. Step 3: Cross multiply
    1,494.68x = 2,239.72 × 801.44
  4. Step 4: Simplify right side
    1,494.68x = 1,795,001.20
  5. Step 5: Solve for x
    x = 1,795,001.20/1,494.68
  6. Step 6: Final answer
    x = 1,200.93

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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.