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Finding the Fourth Proportional to 1,131.92, 1,703.84 and 964.88

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Solution

The fourth proportional to 1,131.92, 1,703.84 and 964.88 is: 1,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.92 : 1,703.84 = 964.88 : x
  2. Step 2: Convert to fraction form
    1,131.92/1,703.84 = 964.88/x
  3. Step 3: Cross multiply
    1,131.92x = 1,703.84 × 964.88
  4. Step 4: Simplify right side
    1,131.92x = 1,644,001.14
  5. Step 5: Solve for x
    x = 1,644,001.14/1,131.92
  6. Step 6: Final answer
    x = 1,452.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.