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Finding the Fourth Proportional to 865.79, 1,194.60 and 534.11

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Solution

The fourth proportional to 865.79, 1,194.60 and 534.11 is: 736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,194.60 = 534.11 : x
  2. Step 2: Convert to fraction form
    865.79/1,194.60 = 534.11/x
  3. Step 3: Cross multiply
    865.79x = 1,194.60 × 534.11
  4. Step 4: Simplify right side
    865.79x = 638,047.81
  5. Step 5: Solve for x
    x = 638,047.81/865.79
  6. Step 6: Final answer
    x = 736.95

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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.