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Finding the Fourth Proportional to 1,117.92, 1,676.96 and 631.20

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Solution

The fourth proportional to 1,117.92, 1,676.96 and 631.20 is: 946.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.92 : 1,676.96 = 631.20 : x
  2. Step 2: Convert to fraction form
    1,117.92/1,676.96 = 631.20/x
  3. Step 3: Cross multiply
    1,117.92x = 1,676.96 × 631.20
  4. Step 4: Simplify right side
    1,117.92x = 1,058,497.15
  5. Step 5: Solve for x
    x = 1,058,497.15/1,117.92
  6. Step 6: Final answer
    x = 946.85

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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.