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Finding the Fourth Proportional to 1,108.12, 1,527.78 and 758.20

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Solution

The fourth proportional to 1,108.12, 1,527.78 and 758.20 is: 1,045.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.12 : 1,527.78 = 758.20 : x
  2. Step 2: Convert to fraction form
    1,108.12/1,527.78 = 758.20/x
  3. Step 3: Cross multiply
    1,108.12x = 1,527.78 × 758.20
  4. Step 4: Simplify right side
    1,108.12x = 1,158,362.80
  5. Step 5: Solve for x
    x = 1,158,362.80/1,108.12
  6. Step 6: Final answer
    x = 1,045.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.