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Finding the Fourth Proportional to 1,031.37, 1,422.65 and 632.82

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Solution

The fourth proportional to 1,031.37, 1,422.65 and 632.82 is: 872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.37 : 1,422.65 = 632.82 : x
  2. Step 2: Convert to fraction form
    1,031.37/1,422.65 = 632.82/x
  3. Step 3: Cross multiply
    1,031.37x = 1,422.65 × 632.82
  4. Step 4: Simplify right side
    1,031.37x = 900,278.21
  5. Step 5: Solve for x
    x = 900,278.21/1,031.37
  6. Step 6: Final answer
    x = 872.90

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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.