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Finding the Fourth Proportional to 986.69, 1,480.76 and 952.13

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Solution

The fourth proportional to 986.69, 1,480.76 and 952.13 is: 1,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.69 : 1,480.76 = 952.13 : x
  2. Step 2: Convert to fraction form
    986.69/1,480.76 = 952.13/x
  3. Step 3: Cross multiply
    986.69x = 1,480.76 × 952.13
  4. Step 4: Simplify right side
    986.69x = 1,409,876.02
  5. Step 5: Solve for x
    x = 1,409,876.02/986.69
  6. Step 6: Final answer
    x = 1,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.