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Finding the Fourth Proportional to 1,199.40, 1,654.89 and 702.11

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Solution

The fourth proportional to 1,199.40, 1,654.89 and 702.11 is: 968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,654.89 = 702.11 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,654.89 = 702.11/x
  3. Step 3: Cross multiply
    1,199.40x = 1,654.89 × 702.11
  4. Step 4: Simplify right side
    1,199.40x = 1,161,914.82
  5. Step 5: Solve for x
    x = 1,161,914.82/1,199.40
  6. Step 6: Final answer
    x = 968.75

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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.