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Finding the Fourth Proportional to 1,233.77, 1,702.35 and 709.70

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Solution

The fourth proportional to 1,233.77, 1,702.35 and 709.70 is: 979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.77 : 1,702.35 = 709.70 : x
  2. Step 2: Convert to fraction form
    1,233.77/1,702.35 = 709.70/x
  3. Step 3: Cross multiply
    1,233.77x = 1,702.35 × 709.70
  4. Step 4: Simplify right side
    1,233.77x = 1,208,149.28
  5. Step 5: Solve for x
    x = 1,208,149.28/1,233.77
  6. Step 6: Final answer
    x = 979.24

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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.