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Finding the Fourth Proportional to 1,289.47, 1,934.98 and 559.05

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Solution

The fourth proportional to 1,289.47, 1,934.98 and 559.05 is: 838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.47 : 1,934.98 = 559.05 : x
  2. Step 2: Convert to fraction form
    1,289.47/1,934.98 = 559.05/x
  3. Step 3: Cross multiply
    1,289.47x = 1,934.98 × 559.05
  4. Step 4: Simplify right side
    1,289.47x = 1,081,749.17
  5. Step 5: Solve for x
    x = 1,081,749.17/1,289.47
  6. Step 6: Final answer
    x = 838.91

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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.