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Finding the Fourth Proportional to 1,106.75, 1,655.87 and 1,098.85

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Solution

The fourth proportional to 1,106.75, 1,655.87 and 1,098.85 is: 1,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.75 : 1,655.87 = 1,098.85 : x
  2. Step 2: Convert to fraction form
    1,106.75/1,655.87 = 1,098.85/x
  3. Step 3: Cross multiply
    1,106.75x = 1,655.87 × 1,098.85
  4. Step 4: Simplify right side
    1,106.75x = 1,819,552.75
  5. Step 5: Solve for x
    x = 1,819,552.75/1,106.75
  6. Step 6: Final answer
    x = 1,644.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.