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Finding the Fourth Proportional to 1,215.60, 1,823.40 and 960.88

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Solution

The fourth proportional to 1,215.60, 1,823.40 and 960.88 is: 1,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.60 : 1,823.40 = 960.88 : x
  2. Step 2: Convert to fraction form
    1,215.60/1,823.40 = 960.88/x
  3. Step 3: Cross multiply
    1,215.60x = 1,823.40 × 960.88
  4. Step 4: Simplify right side
    1,215.60x = 1,752,068.59
  5. Step 5: Solve for x
    x = 1,752,068.59/1,215.60
  6. Step 6: Final answer
    x = 1,441.32

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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.