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Finding the Fourth Proportional to 955.85, 1,432.80 and 399.78

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Solution

The fourth proportional to 955.85, 1,432.80 and 399.78 is: 599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.85 : 1,432.80 = 399.78 : x
  2. Step 2: Convert to fraction form
    955.85/1,432.80 = 399.78/x
  3. Step 3: Cross multiply
    955.85x = 1,432.80 × 399.78
  4. Step 4: Simplify right side
    955.85x = 572,804.78
  5. Step 5: Solve for x
    x = 572,804.78/955.85
  6. Step 6: Final answer
    x = 599.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.