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Finding the Fourth Proportional to 860.40, 1,187.10 and 581.13

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Solution

The fourth proportional to 860.40, 1,187.10 and 581.13 is: 801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,187.10 = 581.13 : x
  2. Step 2: Convert to fraction form
    860.40/1,187.10 = 581.13/x
  3. Step 3: Cross multiply
    860.40x = 1,187.10 × 581.13
  4. Step 4: Simplify right side
    860.40x = 689,859.42
  5. Step 5: Solve for x
    x = 689,859.42/860.40
  6. Step 6: Final answer
    x = 801.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.