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Finding the Fourth Proportional to 1,031.75, 1,424.21 and 700.32

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Solution

The fourth proportional to 1,031.75, 1,424.21 and 700.32 is: 966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.75 : 1,424.21 = 700.32 : x
  2. Step 2: Convert to fraction form
    1,031.75/1,424.21 = 700.32/x
  3. Step 3: Cross multiply
    1,031.75x = 1,424.21 × 700.32
  4. Step 4: Simplify right side
    1,031.75x = 997,399.25
  5. Step 5: Solve for x
    x = 997,399.25/1,031.75
  6. Step 6: Final answer
    x = 966.71

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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.