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Finding the Fourth Proportional to 977.41, 1,348.82 and 535.31

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Solution

The fourth proportional to 977.41, 1,348.82 and 535.31 is: 738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.41 : 1,348.82 = 535.31 : x
  2. Step 2: Convert to fraction form
    977.41/1,348.82 = 535.31/x
  3. Step 3: Cross multiply
    977.41x = 1,348.82 × 535.31
  4. Step 4: Simplify right side
    977.41x = 722,034.16
  5. Step 5: Solve for x
    x = 722,034.16/977.41
  6. Step 6: Final answer
    x = 738.73

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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.