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Finding the Fourth Proportional to 1,199.85, 1,655.82 and 702.66

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Solution

The fourth proportional to 1,199.85, 1,655.82 and 702.66 is: 969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.85 : 1,655.82 = 702.66 : x
  2. Step 2: Convert to fraction form
    1,199.85/1,655.82 = 702.66/x
  3. Step 3: Cross multiply
    1,199.85x = 1,655.82 × 702.66
  4. Step 4: Simplify right side
    1,199.85x = 1,163,478.48
  5. Step 5: Solve for x
    x = 1,163,478.48/1,199.85
  6. Step 6: Final answer
    x = 969.69

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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.