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Finding the Fourth Proportional to 1,199.82, 1,655.76 and 702.78

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Solution

The fourth proportional to 1,199.82, 1,655.76 and 702.78 is: 969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.82 : 1,655.76 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,199.82/1,655.76 = 702.78/x
  3. Step 3: Cross multiply
    1,199.82x = 1,655.76 × 702.78
  4. Step 4: Simplify right side
    1,199.82x = 1,163,635.01
  5. Step 5: Solve for x
    x = 1,163,635.01/1,199.82
  6. Step 6: Final answer
    x = 969.84

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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.