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Finding the Fourth Proportional to 833.71, 1,148.37 and 581.19

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Solution

The fourth proportional to 833.71, 1,148.37 and 581.19 is: 800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.71 : 1,148.37 = 581.19 : x
  2. Step 2: Convert to fraction form
    833.71/1,148.37 = 581.19/x
  3. Step 3: Cross multiply
    833.71x = 1,148.37 × 581.19
  4. Step 4: Simplify right side
    833.71x = 667,419.81
  5. Step 5: Solve for x
    x = 667,419.81/833.71
  6. Step 6: Final answer
    x = 800.54

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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.