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Finding the Fourth Proportional to 950.02, 1,311.50 and 596.45

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Solution

The fourth proportional to 950.02, 1,311.50 and 596.45 is: 823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.02 : 1,311.50 = 596.45 : x
  2. Step 2: Convert to fraction form
    950.02/1,311.50 = 596.45/x
  3. Step 3: Cross multiply
    950.02x = 1,311.50 × 596.45
  4. Step 4: Simplify right side
    950.02x = 782,245.42
  5. Step 5: Solve for x
    x = 782,245.42/950.02
  6. Step 6: Final answer
    x = 823.40

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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.