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Finding the Fourth Proportional to 1,117.71, 1,676.84 and 655.88

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Solution

The fourth proportional to 1,117.71, 1,676.84 and 655.88 is: 983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.71 : 1,676.84 = 655.88 : x
  2. Step 2: Convert to fraction form
    1,117.71/1,676.84 = 655.88/x
  3. Step 3: Cross multiply
    1,117.71x = 1,676.84 × 655.88
  4. Step 4: Simplify right side
    1,117.71x = 1,099,794.16
  5. Step 5: Solve for x
    x = 1,099,794.16/1,117.71
  6. Step 6: Final answer
    x = 983.97

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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.