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Finding the Fourth Proportional to 949.52, 1,310.16 and 600.32

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Solution

The fourth proportional to 949.52, 1,310.16 and 600.32 is: 828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.52 : 1,310.16 = 600.32 : x
  2. Step 2: Convert to fraction form
    949.52/1,310.16 = 600.32/x
  3. Step 3: Cross multiply
    949.52x = 1,310.16 × 600.32
  4. Step 4: Simplify right side
    949.52x = 786,515.25
  5. Step 5: Solve for x
    x = 786,515.25/949.52
  6. Step 6: Final answer
    x = 828.33

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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.