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Finding the Fourth Proportional to 1,138.07, 1,703.15 and 699.13

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Solution

The fourth proportional to 1,138.07, 1,703.15 and 699.13 is: 1,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.07 : 1,703.15 = 699.13 : x
  2. Step 2: Convert to fraction form
    1,138.07/1,703.15 = 699.13/x
  3. Step 3: Cross multiply
    1,138.07x = 1,703.15 × 699.13
  4. Step 4: Simplify right side
    1,138.07x = 1,190,711.25
  5. Step 5: Solve for x
    x = 1,190,711.25/1,138.07
  6. Step 6: Final answer
    x = 1,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.