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Finding the Fourth Proportional to 988.30, 1,363.84 and 546.22

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Solution

The fourth proportional to 988.30, 1,363.84 and 546.22 is: 753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.30 : 1,363.84 = 546.22 : x
  2. Step 2: Convert to fraction form
    988.30/1,363.84 = 546.22/x
  3. Step 3: Cross multiply
    988.30x = 1,363.84 × 546.22
  4. Step 4: Simplify right side
    988.30x = 744,956.68
  5. Step 5: Solve for x
    x = 744,956.68/988.30
  6. Step 6: Final answer
    x = 753.78

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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.