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Finding the Fourth Proportional to 950.60, 1,311.14 and 596.24

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Solution

The fourth proportional to 950.60, 1,311.14 and 596.24 is: 822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.60 : 1,311.14 = 596.24 : x
  2. Step 2: Convert to fraction form
    950.60/1,311.14 = 596.24/x
  3. Step 3: Cross multiply
    950.60x = 1,311.14 × 596.24
  4. Step 4: Simplify right side
    950.60x = 781,754.11
  5. Step 5: Solve for x
    x = 781,754.11/950.60
  6. Step 6: Final answer
    x = 822.38

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1.5x scale

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.