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Finding the Fourth Proportional to 1,096.48, 1,642.32 and 966.88

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Solution

The fourth proportional to 1,096.48, 1,642.32 and 966.88 is: 1,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.48 : 1,642.32 = 966.88 : x
  2. Step 2: Convert to fraction form
    1,096.48/1,642.32 = 966.88/x
  3. Step 3: Cross multiply
    1,096.48x = 1,642.32 × 966.88
  4. Step 4: Simplify right side
    1,096.48x = 1,587,926.36
  5. Step 5: Solve for x
    x = 1,587,926.36/1,096.48
  6. Step 6: Final answer
    x = 1,448.20

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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.