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Finding the Fourth Proportional to 1,233.54, 1,702.26 and 709.58

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Solution

The fourth proportional to 1,233.54, 1,702.26 and 709.58 is: 979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.54 : 1,702.26 = 709.58 : x
  2. Step 2: Convert to fraction form
    1,233.54/1,702.26 = 709.58/x
  3. Step 3: Cross multiply
    1,233.54x = 1,702.26 × 709.58
  4. Step 4: Simplify right side
    1,233.54x = 1,207,881.14
  5. Step 5: Solve for x
    x = 1,207,881.14/1,233.54
  6. Step 6: Final answer
    x = 979.20

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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.