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Finding the Fourth Proportional to 928.68, 1,393.05 and 460.56

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Solution

The fourth proportional to 928.68, 1,393.05 and 460.56 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.68 : 1,393.05 = 460.56 : x
  2. Step 2: Convert to fraction form
    928.68/1,393.05 = 460.56/x
  3. Step 3: Cross multiply
    928.68x = 1,393.05 × 460.56
  4. Step 4: Simplify right side
    928.68x = 641,583.11
  5. Step 5: Solve for x
    x = 641,583.11/928.68
  6. Step 6: Final answer
    x = 690.85

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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.