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Finding the Fourth Proportional to 1,108.74, 1,663.12 and 286.96

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Solution

The fourth proportional to 1,108.74, 1,663.12 and 286.96 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.74 : 1,663.12 = 286.96 : x
  2. Step 2: Convert to fraction form
    1,108.74/1,663.12 = 286.96/x
  3. Step 3: Cross multiply
    1,108.74x = 1,663.12 × 286.96
  4. Step 4: Simplify right side
    1,108.74x = 477,239.16
  5. Step 5: Solve for x
    x = 477,239.16/1,108.74
  6. Step 6: Final answer
    x = 430.43

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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.