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Finding the Fourth Proportional to 860.72, 1,291.08 and 283.60

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Solution

The fourth proportional to 860.72, 1,291.08 and 283.60 is: 425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.72 : 1,291.08 = 283.60 : x
  2. Step 2: Convert to fraction form
    860.72/1,291.08 = 283.60/x
  3. Step 3: Cross multiply
    860.72x = 1,291.08 × 283.60
  4. Step 4: Simplify right side
    860.72x = 366,143.83
  5. Step 5: Solve for x
    x = 366,143.83/860.72
  6. Step 6: Final answer
    x = 425.39

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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.