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Finding the Fourth Proportional to 825.98, 1,232.00 and 702.86

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Solution

The fourth proportional to 825.98, 1,232.00 and 702.86 is: 1,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.98 : 1,232.00 = 702.86 : x
  2. Step 2: Convert to fraction form
    825.98/1,232.00 = 702.86/x
  3. Step 3: Cross multiply
    825.98x = 1,232.00 × 702.86
  4. Step 4: Simplify right side
    825.98x = 865,928.36
  5. Step 5: Solve for x
    x = 865,928.36/825.98
  6. Step 6: Final answer
    x = 1,048.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.