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Finding the Fourth Proportional to 865.58, 1,194.53 and 511.74

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Solution

The fourth proportional to 865.58, 1,194.53 and 511.74 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.58 : 1,194.53 = 511.74 : x
  2. Step 2: Convert to fraction form
    865.58/1,194.53 = 511.74/x
  3. Step 3: Cross multiply
    865.58x = 1,194.53 × 511.74
  4. Step 4: Simplify right side
    865.58x = 611,288.78
  5. Step 5: Solve for x
    x = 611,288.78/865.58
  6. Step 6: Final answer
    x = 706.22

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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.