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Finding the Fourth Proportional to 865.71, 1,194.58 and 534.06

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Solution

The fourth proportional to 865.71, 1,194.58 and 534.06 is: 736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.71 : 1,194.58 = 534.06 : x
  2. Step 2: Convert to fraction form
    865.71/1,194.58 = 534.06/x
  3. Step 3: Cross multiply
    865.71x = 1,194.58 × 534.06
  4. Step 4: Simplify right side
    865.71x = 637,979.05
  5. Step 5: Solve for x
    x = 637,979.05/865.71
  6. Step 6: Final answer
    x = 736.94

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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.