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Finding the Fourth Proportional to 988.30, 1,480.56 and 500.68

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Solution

The fourth proportional to 988.30, 1,480.56 and 500.68 is: 750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.30 : 1,480.56 = 500.68 : x
  2. Step 2: Convert to fraction form
    988.30/1,480.56 = 500.68/x
  3. Step 3: Cross multiply
    988.30x = 1,480.56 × 500.68
  4. Step 4: Simplify right side
    988.30x = 741,286.78
  5. Step 5: Solve for x
    x = 741,286.78/988.30
  6. Step 6: Final answer
    x = 750.06

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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.