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Finding the Fourth Proportional to 1,108.70, 1,663.09 and 287.06

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Solution

The fourth proportional to 1,108.70, 1,663.09 and 287.06 is: 430.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.70 : 1,663.09 = 287.06 : x
  2. Step 2: Convert to fraction form
    1,108.70/1,663.09 = 287.06/x
  3. Step 3: Cross multiply
    1,108.70x = 1,663.09 × 287.06
  4. Step 4: Simplify right side
    1,108.70x = 477,397.58
  5. Step 5: Solve for x
    x = 477,397.58/1,108.70
  6. Step 6: Final answer
    x = 430.59

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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.