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Finding the Fourth Proportional to 860.85, 1,188.42 and 582.54

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Solution

The fourth proportional to 860.85, 1,188.42 and 582.54 is: 804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.85 : 1,188.42 = 582.54 : x
  2. Step 2: Convert to fraction form
    860.85/1,188.42 = 582.54/x
  3. Step 3: Cross multiply
    860.85x = 1,188.42 × 582.54
  4. Step 4: Simplify right side
    860.85x = 692,302.19
  5. Step 5: Solve for x
    x = 692,302.19/860.85
  6. Step 6: Final answer
    x = 804.21

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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.