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Finding the Fourth Proportional to 865.83, 1,194.80 and 534.14

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Solution

The fourth proportional to 865.83, 1,194.80 and 534.14 is: 737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.83 : 1,194.80 = 534.14 : x
  2. Step 2: Convert to fraction form
    865.83/1,194.80 = 534.14/x
  3. Step 3: Cross multiply
    865.83x = 1,194.80 × 534.14
  4. Step 4: Simplify right side
    865.83x = 638,181.83
  5. Step 5: Solve for x
    x = 638,181.83/865.83
  6. Step 6: Final answer
    x = 737.08

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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.