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Finding the Fourth Proportional to 1,199.28, 1,654.68 and 702.04

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Solution

The fourth proportional to 1,199.28, 1,654.68 and 702.04 is: 968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.28 : 1,654.68 = 702.04 : x
  2. Step 2: Convert to fraction form
    1,199.28/1,654.68 = 702.04/x
  3. Step 3: Cross multiply
    1,199.28x = 1,654.68 × 702.04
  4. Step 4: Simplify right side
    1,199.28x = 1,161,653.85
  5. Step 5: Solve for x
    x = 1,161,653.85/1,199.28
  6. Step 6: Final answer
    x = 968.63

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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.