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Finding the Fourth Proportional to 866.02, 1,194.71 and 511.71

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Solution

The fourth proportional to 866.02, 1,194.71 and 511.71 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.02 : 1,194.71 = 511.71 : x
  2. Step 2: Convert to fraction form
    866.02/1,194.71 = 511.71/x
  3. Step 3: Cross multiply
    866.02x = 1,194.71 × 511.71
  4. Step 4: Simplify right side
    866.02x = 611,342.37
  5. Step 5: Solve for x
    x = 611,342.37/866.02
  6. Step 6: Final answer
    x = 705.92

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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.