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Finding the Fourth Proportional to 928.78, 1,281.34 and 597.15

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Solution

The fourth proportional to 928.78, 1,281.34 and 597.15 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.78 : 1,281.34 = 597.15 : x
  2. Step 2: Convert to fraction form
    928.78/1,281.34 = 597.15/x
  3. Step 3: Cross multiply
    928.78x = 1,281.34 × 597.15
  4. Step 4: Simplify right side
    928.78x = 765,152.18
  5. Step 5: Solve for x
    x = 765,152.18/928.78
  6. Step 6: Final answer
    x = 823.82

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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.