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Finding the Fourth Proportional to 1,332.82, 2,006.98 and 988.60

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Solution

The fourth proportional to 1,332.82, 2,006.98 and 988.60 is: 1,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.82 : 2,006.98 = 988.60 : x
  2. Step 2: Convert to fraction form
    1,332.82/2,006.98 = 988.60/x
  3. Step 3: Cross multiply
    1,332.82x = 2,006.98 × 988.60
  4. Step 4: Simplify right side
    1,332.82x = 1,984,100.43
  5. Step 5: Solve for x
    x = 1,984,100.43/1,332.82
  6. Step 6: Final answer
    x = 1,488.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.