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Finding the Fourth Proportional to 1,211.76, 1,672.24 and 659.76

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Solution

The fourth proportional to 1,211.76, 1,672.24 and 659.76 is: 910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.76 : 1,672.24 = 659.76 : x
  2. Step 2: Convert to fraction form
    1,211.76/1,672.24 = 659.76/x
  3. Step 3: Cross multiply
    1,211.76x = 1,672.24 × 659.76
  4. Step 4: Simplify right side
    1,211.76x = 1,103,277.06
  5. Step 5: Solve for x
    x = 1,103,277.06/1,211.76
  6. Step 6: Final answer
    x = 910.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.