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Finding the Fourth Proportional to 1,233.57, 1,702.22 and 709.63

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Solution

The fourth proportional to 1,233.57, 1,702.22 and 709.63 is: 979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.57 : 1,702.22 = 709.63 : x
  2. Step 2: Convert to fraction form
    1,233.57/1,702.22 = 709.63/x
  3. Step 3: Cross multiply
    1,233.57x = 1,702.22 × 709.63
  4. Step 4: Simplify right side
    1,233.57x = 1,207,948.15
  5. Step 5: Solve for x
    x = 1,207,948.15/1,233.57
  6. Step 6: Final answer
    x = 979.23

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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.