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Finding the Fourth Proportional to 955.06, 1,317.92 and 535.41

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Solution

The fourth proportional to 955.06, 1,317.92 and 535.41 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.06 : 1,317.92 = 535.41 : x
  2. Step 2: Convert to fraction form
    955.06/1,317.92 = 535.41/x
  3. Step 3: Cross multiply
    955.06x = 1,317.92 × 535.41
  4. Step 4: Simplify right side
    955.06x = 705,628.53
  5. Step 5: Solve for x
    x = 705,628.53/955.06
  6. Step 6: Final answer
    x = 738.83

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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.