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Finding the Fourth Proportional to 988.27, 1,363.73 and 546.17

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Solution

The fourth proportional to 988.27, 1,363.73 and 546.17 is: 753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.27 : 1,363.73 = 546.17 : x
  2. Step 2: Convert to fraction form
    988.27/1,363.73 = 546.17/x
  3. Step 3: Cross multiply
    988.27x = 1,363.73 × 546.17
  4. Step 4: Simplify right side
    988.27x = 744,828.41
  5. Step 5: Solve for x
    x = 744,828.41/988.27
  6. Step 6: Final answer
    x = 753.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.