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Finding the Fourth Proportional to 992.40, 1,390.80 and 992.40

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Solution

The fourth proportional to 992.40, 1,390.80 and 992.40 is: 1,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.40 : 1,390.80 = 992.40 : x
  2. Step 2: Convert to fraction form
    992.40/1,390.80 = 992.40/x
  3. Step 3: Cross multiply
    992.40x = 1,390.80 × 992.40
  4. Step 4: Simplify right side
    992.40x = 1,380,229.92
  5. Step 5: Solve for x
    x = 1,380,229.92/992.40
  6. Step 6: Final answer
    x = 1,390.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.