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Finding the Fourth Proportional to 928.73, 1,281.47 and 597.08

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Solution

The fourth proportional to 928.73, 1,281.47 and 597.08 is: 823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.73 : 1,281.47 = 597.08 : x
  2. Step 2: Convert to fraction form
    928.73/1,281.47 = 597.08/x
  3. Step 3: Cross multiply
    928.73x = 1,281.47 × 597.08
  4. Step 4: Simplify right side
    928.73x = 765,135.19
  5. Step 5: Solve for x
    x = 765,135.19/928.73
  6. Step 6: Final answer
    x = 823.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.