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Finding the Fourth Proportional to 988.98, 1,364.31 and 616.02

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Solution

The fourth proportional to 988.98, 1,364.31 and 616.02 is: 849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.98 : 1,364.31 = 616.02 : x
  2. Step 2: Convert to fraction form
    988.98/1,364.31 = 616.02/x
  3. Step 3: Cross multiply
    988.98x = 1,364.31 × 616.02
  4. Step 4: Simplify right side
    988.98x = 840,442.25
  5. Step 5: Solve for x
    x = 840,442.25/988.98
  6. Step 6: Final answer
    x = 849.81

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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.