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Finding the Fourth Proportional to 1,069.81, 1,474.72 and 836.53

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Solution

The fourth proportional to 1,069.81, 1,474.72 and 836.53 is: 1,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.81 : 1,474.72 = 836.53 : x
  2. Step 2: Convert to fraction form
    1,069.81/1,474.72 = 836.53/x
  3. Step 3: Cross multiply
    1,069.81x = 1,474.72 × 836.53
  4. Step 4: Simplify right side
    1,069.81x = 1,233,647.52
  5. Step 5: Solve for x
    x = 1,233,647.52/1,069.81
  6. Step 6: Final answer
    x = 1,153.15

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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.