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Finding the Fourth Proportional to 928.53, 1,281.40 and 597.60

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Solution

The fourth proportional to 928.53, 1,281.40 and 597.60 is: 824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.53 : 1,281.40 = 597.60 : x
  2. Step 2: Convert to fraction form
    928.53/1,281.40 = 597.60/x
  3. Step 3: Cross multiply
    928.53x = 1,281.40 × 597.60
  4. Step 4: Simplify right side
    928.53x = 765,763.15
  5. Step 5: Solve for x
    x = 765,763.15/928.53
  6. Step 6: Final answer
    x = 824.70

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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.