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Finding the Fourth Proportional to 988.17, 1,363.67 and 546.06

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Solution

The fourth proportional to 988.17, 1,363.67 and 546.06 is: 753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.17 : 1,363.67 = 546.06 : x
  2. Step 2: Convert to fraction form
    988.17/1,363.67 = 546.06/x
  3. Step 3: Cross multiply
    988.17x = 1,363.67 × 546.06
  4. Step 4: Simplify right side
    988.17x = 744,642.91
  5. Step 5: Solve for x
    x = 744,642.91/988.17
  6. Step 6: Final answer
    x = 753.56

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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.