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Finding the Fourth Proportional to 1,202.22, 1,658.76 and 980.82

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Solution

The fourth proportional to 1,202.22, 1,658.76 and 980.82 is: 1,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.22 : 1,658.76 = 980.82 : x
  2. Step 2: Convert to fraction form
    1,202.22/1,658.76 = 980.82/x
  3. Step 3: Cross multiply
    1,202.22x = 1,658.76 × 980.82
  4. Step 4: Simplify right side
    1,202.22x = 1,626,944.98
  5. Step 5: Solve for x
    x = 1,626,944.98/1,202.22
  6. Step 6: Final answer
    x = 1,353.28

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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.