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Finding the Fourth Proportional to 1,101.90, 1,521.62 and 709.59

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Solution

The fourth proportional to 1,101.90, 1,521.62 and 709.59 is: 979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.90 : 1,521.62 = 709.59 : x
  2. Step 2: Convert to fraction form
    1,101.90/1,521.62 = 709.59/x
  3. Step 3: Cross multiply
    1,101.90x = 1,521.62 × 709.59
  4. Step 4: Simplify right side
    1,101.90x = 1,079,726.34
  5. Step 5: Solve for x
    x = 1,079,726.34/1,101.90
  6. Step 6: Final answer
    x = 979.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.