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Finding the Fourth Proportional to 1,102.70, 1,644.76 and 1,026.16

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Solution

The fourth proportional to 1,102.70, 1,644.76 and 1,026.16 is: 1,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.70 : 1,644.76 = 1,026.16 : x
  2. Step 2: Convert to fraction form
    1,102.70/1,644.76 = 1,026.16/x
  3. Step 3: Cross multiply
    1,102.70x = 1,644.76 × 1,026.16
  4. Step 4: Simplify right side
    1,102.70x = 1,687,778.70
  5. Step 5: Solve for x
    x = 1,687,778.70/1,102.70
  6. Step 6: Final answer
    x = 1,530.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.