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Finding the Fourth Proportional to 1,319.64, 1,820.31 and 871.52

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Solution

The fourth proportional to 1,319.64, 1,820.31 and 871.52 is: 1,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.64 : 1,820.31 = 871.52 : x
  2. Step 2: Convert to fraction form
    1,319.64/1,820.31 = 871.52/x
  3. Step 3: Cross multiply
    1,319.64x = 1,820.31 × 871.52
  4. Step 4: Simplify right side
    1,319.64x = 1,586,425.29
  5. Step 5: Solve for x
    x = 1,586,425.29/1,319.64
  6. Step 6: Final answer
    x = 1,202.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.