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Finding the Fourth Proportional to 1,233.42, 1,701.96 and 702.37

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Solution

The fourth proportional to 1,233.42, 1,701.96 and 702.37 is: 969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.42 : 1,701.96 = 702.37 : x
  2. Step 2: Convert to fraction form
    1,233.42/1,701.96 = 702.37/x
  3. Step 3: Cross multiply
    1,233.42x = 1,701.96 × 702.37
  4. Step 4: Simplify right side
    1,233.42x = 1,195,393.62
  5. Step 5: Solve for x
    x = 1,195,393.62/1,233.42
  6. Step 6: Final answer
    x = 969.17

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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.