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Finding the Fourth Proportional to 1,102.46, 1,651.07 and 842.13

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Solution

The fourth proportional to 1,102.46, 1,651.07 and 842.13 is: 1,261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.46 : 1,651.07 = 842.13 : x
  2. Step 2: Convert to fraction form
    1,102.46/1,651.07 = 842.13/x
  3. Step 3: Cross multiply
    1,102.46x = 1,651.07 × 842.13
  4. Step 4: Simplify right side
    1,102.46x = 1,390,417.68
  5. Step 5: Solve for x
    x = 1,390,417.68/1,102.46
  6. Step 6: Final answer
    x = 1,261.20

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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.