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Finding the Fourth Proportional to 1,354.17, 2,029.80 and 659.28

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Solution

The fourth proportional to 1,354.17, 2,029.80 and 659.28 is: 988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.17 : 2,029.80 = 659.28 : x
  2. Step 2: Convert to fraction form
    1,354.17/2,029.80 = 659.28/x
  3. Step 3: Cross multiply
    1,354.17x = 2,029.80 × 659.28
  4. Step 4: Simplify right side
    1,354.17x = 1,338,206.54
  5. Step 5: Solve for x
    x = 1,338,206.54/1,354.17
  6. Step 6: Final answer
    x = 988.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.