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Finding the Fourth Proportional to 928.94, 1,281.22 and 597.40

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Solution

The fourth proportional to 928.94, 1,281.22 and 597.40 is: 823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.94 : 1,281.22 = 597.40 : x
  2. Step 2: Convert to fraction form
    928.94/1,281.22 = 597.40/x
  3. Step 3: Cross multiply
    928.94x = 1,281.22 × 597.40
  4. Step 4: Simplify right side
    928.94x = 765,400.83
  5. Step 5: Solve for x
    x = 765,400.83/928.94
  6. Step 6: Final answer
    x = 823.95

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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.