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Finding the Fourth Proportional to 928.72, 1,281.80 and 597.56

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Solution

The fourth proportional to 928.72, 1,281.80 and 597.56 is: 824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.72 : 1,281.80 = 597.56 : x
  2. Step 2: Convert to fraction form
    928.72/1,281.80 = 597.56/x
  3. Step 3: Cross multiply
    928.72x = 1,281.80 × 597.56
  4. Step 4: Simplify right side
    928.72x = 765,952.41
  5. Step 5: Solve for x
    x = 765,952.41/928.72
  6. Step 6: Final answer
    x = 824.74

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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.