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Finding the Fourth Proportional to 1,217.52, 1,827.36 and 779.76

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Solution

The fourth proportional to 1,217.52, 1,827.36 and 779.76 is: 1,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.52 : 1,827.36 = 779.76 : x
  2. Step 2: Convert to fraction form
    1,217.52/1,827.36 = 779.76/x
  3. Step 3: Cross multiply
    1,217.52x = 1,827.36 × 779.76
  4. Step 4: Simplify right side
    1,217.52x = 1,424,902.23
  5. Step 5: Solve for x
    x = 1,424,902.23/1,217.52
  6. Step 6: Final answer
    x = 1,170.33

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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.