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Finding the Fourth Proportional to 786.81, 1,086.09 and 524.91

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Solution

The fourth proportional to 786.81, 1,086.09 and 524.91 is: 724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.81 : 1,086.09 = 524.91 : x
  2. Step 2: Convert to fraction form
    786.81/1,086.09 = 524.91/x
  3. Step 3: Cross multiply
    786.81x = 1,086.09 × 524.91
  4. Step 4: Simplify right side
    786.81x = 570,099.50
  5. Step 5: Solve for x
    x = 570,099.50/786.81
  6. Step 6: Final answer
    x = 724.57

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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.