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Finding the Fourth Proportional to 1,199.75, 1,655.75 and 702.43

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Solution

The fourth proportional to 1,199.75, 1,655.75 and 702.43 is: 969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.75 : 1,655.75 = 702.43 : x
  2. Step 2: Convert to fraction form
    1,199.75/1,655.75 = 702.43/x
  3. Step 3: Cross multiply
    1,199.75x = 1,655.75 × 702.43
  4. Step 4: Simplify right side
    1,199.75x = 1,163,048.47
  5. Step 5: Solve for x
    x = 1,163,048.47/1,199.75
  6. Step 6: Final answer
    x = 969.41

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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.