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Finding the Fourth Proportional to 1,116.89, 1,673.97 and 568.77

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Solution

The fourth proportional to 1,116.89, 1,673.97 and 568.77 is: 852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.89 : 1,673.97 = 568.77 : x
  2. Step 2: Convert to fraction form
    1,116.89/1,673.97 = 568.77/x
  3. Step 3: Cross multiply
    1,116.89x = 1,673.97 × 568.77
  4. Step 4: Simplify right side
    1,116.89x = 952,104.92
  5. Step 5: Solve for x
    x = 952,104.92/1,116.89
  6. Step 6: Final answer
    x = 852.46

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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.