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Finding the Fourth Proportional to 1,289.12, 1,934.01 and 559.20

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Solution

The fourth proportional to 1,289.12, 1,934.01 and 559.20 is: 838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.12 : 1,934.01 = 559.20 : x
  2. Step 2: Convert to fraction form
    1,289.12/1,934.01 = 559.20/x
  3. Step 3: Cross multiply
    1,289.12x = 1,934.01 × 559.20
  4. Step 4: Simplify right side
    1,289.12x = 1,081,498.39
  5. Step 5: Solve for x
    x = 1,081,498.39/1,289.12
  6. Step 6: Final answer
    x = 838.95

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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.