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Finding the Fourth Proportional to 1,138.29, 1,570.96 and 696.49

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Solution

The fourth proportional to 1,138.29, 1,570.96 and 696.49 is: 961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.29 : 1,570.96 = 696.49 : x
  2. Step 2: Convert to fraction form
    1,138.29/1,570.96 = 696.49/x
  3. Step 3: Cross multiply
    1,138.29x = 1,570.96 × 696.49
  4. Step 4: Simplify right side
    1,138.29x = 1,094,154.87
  5. Step 5: Solve for x
    x = 1,094,154.87/1,138.29
  6. Step 6: Final answer
    x = 961.23

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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.