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Finding the Fourth Proportional to 955.14, 1,317.98 and 535.41

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Solution

The fourth proportional to 955.14, 1,317.98 and 535.41 is: 738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.14 : 1,317.98 = 535.41 : x
  2. Step 2: Convert to fraction form
    955.14/1,317.98 = 535.41/x
  3. Step 3: Cross multiply
    955.14x = 1,317.98 × 535.41
  4. Step 4: Simplify right side
    955.14x = 705,656.99
  5. Step 5: Solve for x
    x = 705,656.99/955.14
  6. Step 6: Final answer
    x = 738.80

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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.