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Finding the Fourth Proportional to 1,102.06, 1,519.86 and 709.12

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Solution

The fourth proportional to 1,102.06, 1,519.86 and 709.12 is: 977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.06 : 1,519.86 = 709.12 : x
  2. Step 2: Convert to fraction form
    1,102.06/1,519.86 = 709.12/x
  3. Step 3: Cross multiply
    1,102.06x = 1,519.86 × 709.12
  4. Step 4: Simplify right side
    1,102.06x = 1,077,763.12
  5. Step 5: Solve for x
    x = 1,077,763.12/1,102.06
  6. Step 6: Final answer
    x = 977.95

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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.