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Finding the Fourth Proportional to 1,108.20, 1,671.50 and 1,036.20

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Solution

The fourth proportional to 1,108.20, 1,671.50 and 1,036.20 is: 1,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.20 : 1,671.50 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    1,108.20/1,671.50 = 1,036.20/x
  3. Step 3: Cross multiply
    1,108.20x = 1,671.50 × 1,036.20
  4. Step 4: Simplify right side
    1,108.20x = 1,732,008.30
  5. Step 5: Solve for x
    x = 1,732,008.30/1,108.20
  6. Step 6: Final answer
    x = 1,562.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.