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Finding the Fourth Proportional to 1,330.59, 1,836.26 and 741.16

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Solution

The fourth proportional to 1,330.59, 1,836.26 and 741.16 is: 1,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.59 : 1,836.26 = 741.16 : x
  2. Step 2: Convert to fraction form
    1,330.59/1,836.26 = 741.16/x
  3. Step 3: Cross multiply
    1,330.59x = 1,836.26 × 741.16
  4. Step 4: Simplify right side
    1,330.59x = 1,360,957.62
  5. Step 5: Solve for x
    x = 1,360,957.62/1,330.59
  6. Step 6: Final answer
    x = 1,022.83

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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.