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Finding the Fourth Proportional to 988.12, 1,480.56 and 500.50

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Solution

The fourth proportional to 988.12, 1,480.56 and 500.50 is: 749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.12 : 1,480.56 = 500.50 : x
  2. Step 2: Convert to fraction form
    988.12/1,480.56 = 500.50/x
  3. Step 3: Cross multiply
    988.12x = 1,480.56 × 500.50
  4. Step 4: Simplify right side
    988.12x = 741,020.28
  5. Step 5: Solve for x
    x = 741,020.28/988.12
  6. Step 6: Final answer
    x = 749.93

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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.