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Finding the Fourth Proportional to 1,202.34, 1,659.24 and 704.88

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Solution

The fourth proportional to 1,202.34, 1,659.24 and 704.88 is: 972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,659.24 = 704.88 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,659.24 = 704.88/x
  3. Step 3: Cross multiply
    1,202.34x = 1,659.24 × 704.88
  4. Step 4: Simplify right side
    1,202.34x = 1,169,565.09
  5. Step 5: Solve for x
    x = 1,169,565.09/1,202.34
  6. Step 6: Final answer
    x = 972.74

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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.