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Finding the Fourth Proportional to 860.82, 1,188.47 and 566.59

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Solution

The fourth proportional to 860.82, 1,188.47 and 566.59 is: 782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.82 : 1,188.47 = 566.59 : x
  2. Step 2: Convert to fraction form
    860.82/1,188.47 = 566.59/x
  3. Step 3: Cross multiply
    860.82x = 1,188.47 × 566.59
  4. Step 4: Simplify right side
    860.82x = 673,373.66
  5. Step 5: Solve for x
    x = 673,373.66/860.82
  6. Step 6: Final answer
    x = 782.25

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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.