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Finding the Fourth Proportional to 860.35, 1,187.73 and 582.05

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Solution

The fourth proportional to 860.35, 1,187.73 and 582.05 is: 803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.35 : 1,187.73 = 582.05 : x
  2. Step 2: Convert to fraction form
    860.35/1,187.73 = 582.05/x
  3. Step 3: Cross multiply
    860.35x = 1,187.73 × 582.05
  4. Step 4: Simplify right side
    860.35x = 691,318.25
  5. Step 5: Solve for x
    x = 691,318.25/860.35
  6. Step 6: Final answer
    x = 803.53

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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.