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Finding the Fourth Proportional to 1,100.84, 1,520.18 and 708.56

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Solution

The fourth proportional to 1,100.84, 1,520.18 and 708.56 is: 978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.84 : 1,520.18 = 708.56 : x
  2. Step 2: Convert to fraction form
    1,100.84/1,520.18 = 708.56/x
  3. Step 3: Cross multiply
    1,100.84x = 1,520.18 × 708.56
  4. Step 4: Simplify right side
    1,100.84x = 1,077,132.91
  5. Step 5: Solve for x
    x = 1,077,132.91/1,100.84
  6. Step 6: Final answer
    x = 978.46

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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.