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Finding the Fourth Proportional to 1,108.44, 1,661.24 and 588.34

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Solution

The fourth proportional to 1,108.44, 1,661.24 and 588.34 is: 881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.44 : 1,661.24 = 588.34 : x
  2. Step 2: Convert to fraction form
    1,108.44/1,661.24 = 588.34/x
  3. Step 3: Cross multiply
    1,108.44x = 1,661.24 × 588.34
  4. Step 4: Simplify right side
    1,108.44x = 977,373.94
  5. Step 5: Solve for x
    x = 977,373.94/1,108.44
  6. Step 6: Final answer
    x = 881.76

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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.