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Finding the Fourth Proportional to 1,099.10, 1,646.33 and 866.90

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Solution

The fourth proportional to 1,099.10, 1,646.33 and 866.90 is: 1,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.10 : 1,646.33 = 866.90 : x
  2. Step 2: Convert to fraction form
    1,099.10/1,646.33 = 866.90/x
  3. Step 3: Cross multiply
    1,099.10x = 1,646.33 × 866.90
  4. Step 4: Simplify right side
    1,099.10x = 1,427,203.26
  5. Step 5: Solve for x
    x = 1,427,203.26/1,099.10
  6. Step 6: Final answer
    x = 1,298.52

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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.