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Finding the Fourth Proportional to 900.65, 1,342.14 and 871.28

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Solution

The fourth proportional to 900.65, 1,342.14 and 871.28 is: 1,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.65 : 1,342.14 = 871.28 : x
  2. Step 2: Convert to fraction form
    900.65/1,342.14 = 871.28/x
  3. Step 3: Cross multiply
    900.65x = 1,342.14 × 871.28
  4. Step 4: Simplify right side
    900.65x = 1,169,383.09
  5. Step 5: Solve for x
    x = 1,169,383.09/900.65
  6. Step 6: Final answer
    x = 1,298.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.