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Finding the Fourth Proportional to 1,202.12, 1,658.66 and 704.72

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Solution

The fourth proportional to 1,202.12, 1,658.66 and 704.72 is: 972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.12 : 1,658.66 = 704.72 : x
  2. Step 2: Convert to fraction form
    1,202.12/1,658.66 = 704.72/x
  3. Step 3: Cross multiply
    1,202.12x = 1,658.66 × 704.72
  4. Step 4: Simplify right side
    1,202.12x = 1,168,890.88
  5. Step 5: Solve for x
    x = 1,168,890.88/1,202.12
  6. Step 6: Final answer
    x = 972.36

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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.