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Finding the Fourth Proportional to 1,217.17, 1,828.80 and 778.60

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Solution

The fourth proportional to 1,217.17, 1,828.80 and 778.60 is: 1,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.17 : 1,828.80 = 778.60 : x
  2. Step 2: Convert to fraction form
    1,217.17/1,828.80 = 778.60/x
  3. Step 3: Cross multiply
    1,217.17x = 1,828.80 × 778.60
  4. Step 4: Simplify right side
    1,217.17x = 1,423,903.68
  5. Step 5: Solve for x
    x = 1,423,903.68/1,217.17
  6. Step 6: Final answer
    x = 1,169.85

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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.