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Finding the Fourth Proportional to 1,102.76, 1,522.07 and 709.10

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Solution

The fourth proportional to 1,102.76, 1,522.07 and 709.10 is: 978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.76 : 1,522.07 = 709.10 : x
  2. Step 2: Convert to fraction form
    1,102.76/1,522.07 = 709.10/x
  3. Step 3: Cross multiply
    1,102.76x = 1,522.07 × 709.10
  4. Step 4: Simplify right side
    1,102.76x = 1,079,305.61
  5. Step 5: Solve for x
    x = 1,079,305.61/1,102.76
  6. Step 6: Final answer
    x = 978.73

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Why These Related Problems?

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