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Finding the Fourth Proportional to 860.13, 1,291.14 and 550.98

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Solution

The fourth proportional to 860.13, 1,291.14 and 550.98 is: 827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.13 : 1,291.14 = 550.98 : x
  2. Step 2: Convert to fraction form
    860.13/1,291.14 = 550.98/x
  3. Step 3: Cross multiply
    860.13x = 1,291.14 × 550.98
  4. Step 4: Simplify right side
    860.13x = 711,392.32
  5. Step 5: Solve for x
    x = 711,392.32/860.13
  6. Step 6: Final answer
    x = 827.08

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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.