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Finding the Fourth Proportional to 1,116.22, 1,672.80 and 567.76

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Solution

The fourth proportional to 1,116.22, 1,672.80 and 567.76 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.22 : 1,672.80 = 567.76 : x
  2. Step 2: Convert to fraction form
    1,116.22/1,672.80 = 567.76/x
  3. Step 3: Cross multiply
    1,116.22x = 1,672.80 × 567.76
  4. Step 4: Simplify right side
    1,116.22x = 949,748.93
  5. Step 5: Solve for x
    x = 949,748.93/1,116.22
  6. Step 6: Final answer
    x = 850.86

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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.