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Finding the Fourth Proportional to 825.98, 1,139.42 and 514.94

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Solution

The fourth proportional to 825.98, 1,139.42 and 514.94 is: 710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.98 : 1,139.42 = 514.94 : x
  2. Step 2: Convert to fraction form
    825.98/1,139.42 = 514.94/x
  3. Step 3: Cross multiply
    825.98x = 1,139.42 × 514.94
  4. Step 4: Simplify right side
    825.98x = 586,732.93
  5. Step 5: Solve for x
    x = 586,732.93/825.98
  6. Step 6: Final answer
    x = 710.35

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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.