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Finding the Fourth Proportional to 1,202.78, 1,658.91 and 830.38

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Solution

The fourth proportional to 1,202.78, 1,658.91 and 830.38 is: 1,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.78 : 1,658.91 = 830.38 : x
  2. Step 2: Convert to fraction form
    1,202.78/1,658.91 = 830.38/x
  3. Step 3: Cross multiply
    1,202.78x = 1,658.91 × 830.38
  4. Step 4: Simplify right side
    1,202.78x = 1,377,525.69
  5. Step 5: Solve for x
    x = 1,377,525.69/1,202.78
  6. Step 6: Final answer
    x = 1,145.29

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1.5x scale

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.