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Finding the Fourth Proportional to 928.48, 1,280.56 and 596.94

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Solution

The fourth proportional to 928.48, 1,280.56 and 596.94 is: 823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.48 : 1,280.56 = 596.94 : x
  2. Step 2: Convert to fraction form
    928.48/1,280.56 = 596.94/x
  3. Step 3: Cross multiply
    928.48x = 1,280.56 × 596.94
  4. Step 4: Simplify right side
    928.48x = 764,417.49
  5. Step 5: Solve for x
    x = 764,417.49/928.48
  6. Step 6: Final answer
    x = 823.30

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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.