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Finding the Fourth Proportional to 953.09, 1,315.82 and 634.31

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Solution

The fourth proportional to 953.09, 1,315.82 and 634.31 is: 875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.09 : 1,315.82 = 634.31 : x
  2. Step 2: Convert to fraction form
    953.09/1,315.82 = 634.31/x
  3. Step 3: Cross multiply
    953.09x = 1,315.82 × 634.31
  4. Step 4: Simplify right side
    953.09x = 834,634.61
  5. Step 5: Solve for x
    x = 834,634.61/953.09
  6. Step 6: Final answer
    x = 875.71

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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.