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Finding the Fourth Proportional to 866.06, 1,194.75 and 511.89

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Solution

The fourth proportional to 866.06, 1,194.75 and 511.89 is: 706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.06 : 1,194.75 = 511.89 : x
  2. Step 2: Convert to fraction form
    866.06/1,194.75 = 511.89/x
  3. Step 3: Cross multiply
    866.06x = 1,194.75 × 511.89
  4. Step 4: Simplify right side
    866.06x = 611,580.58
  5. Step 5: Solve for x
    x = 611,580.58/866.06
  6. Step 6: Final answer
    x = 706.16

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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.