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Finding the Fourth Proportional to 1,233.50, 1,702.24 and 709.86

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Solution

The fourth proportional to 1,233.50, 1,702.24 and 709.86 is: 979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.50 : 1,702.24 = 709.86 : x
  2. Step 2: Convert to fraction form
    1,233.50/1,702.24 = 709.86/x
  3. Step 3: Cross multiply
    1,233.50x = 1,702.24 × 709.86
  4. Step 4: Simplify right side
    1,233.50x = 1,208,352.09
  5. Step 5: Solve for x
    x = 1,208,352.09/1,233.50
  6. Step 6: Final answer
    x = 979.61

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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.