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Finding the Fourth Proportional to 955, 1,317.85 and 535.42

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Solution

The fourth proportional to 955, 1,317.85 and 535.42 is: 738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    955 : 1,317.85 = 535.42 : x
  2. Step 2: Convert to fraction form
    955/1,317.85 = 535.42/x
  3. Step 3: Cross multiply
    955x = 1,317.85 × 535.42
  4. Step 4: Simplify right side
    955x = 705,603.25
  5. Step 5: Solve for x
    x = 705,603.25/955
  6. Step 6: Final answer
    x = 738.85

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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.