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Finding the Fourth Proportional to 1,288.89, 1,934.19 and 558.54

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Solution

The fourth proportional to 1,288.89, 1,934.19 and 558.54 is: 838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.89 : 1,934.19 = 558.54 : x
  2. Step 2: Convert to fraction form
    1,288.89/1,934.19 = 558.54/x
  3. Step 3: Cross multiply
    1,288.89x = 1,934.19 × 558.54
  4. Step 4: Simplify right side
    1,288.89x = 1,080,322.48
  5. Step 5: Solve for x
    x = 1,080,322.48/1,288.89
  6. Step 6: Final answer
    x = 838.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.