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Finding the Fourth Proportional to 1,098.14, 1,512.86 and 766.04

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Solution

The fourth proportional to 1,098.14, 1,512.86 and 766.04 is: 1,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.14 : 1,512.86 = 766.04 : x
  2. Step 2: Convert to fraction form
    1,098.14/1,512.86 = 766.04/x
  3. Step 3: Cross multiply
    1,098.14x = 1,512.86 × 766.04
  4. Step 4: Simplify right side
    1,098.14x = 1,158,911.27
  5. Step 5: Solve for x
    x = 1,158,911.27/1,098.14
  6. Step 6: Final answer
    x = 1,055.34

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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.