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Finding the Fourth Proportional to 860.02, 1,291.06 and 582.60

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Solution

The fourth proportional to 860.02, 1,291.06 and 582.60 is: 874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.02 : 1,291.06 = 582.60 : x
  2. Step 2: Convert to fraction form
    860.02/1,291.06 = 582.60/x
  3. Step 3: Cross multiply
    860.02x = 1,291.06 × 582.60
  4. Step 4: Simplify right side
    860.02x = 752,171.56
  5. Step 5: Solve for x
    x = 752,171.56/860.02
  6. Step 6: Final answer
    x = 874.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.