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Finding the Fourth Proportional to 1,393.06, 2,089.60 and 419.14

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Solution

The fourth proportional to 1,393.06, 2,089.60 and 419.14 is: 628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.06 : 2,089.60 = 419.14 : x
  2. Step 2: Convert to fraction form
    1,393.06/2,089.60 = 419.14/x
  3. Step 3: Cross multiply
    1,393.06x = 2,089.60 × 419.14
  4. Step 4: Simplify right side
    1,393.06x = 875,834.94
  5. Step 5: Solve for x
    x = 875,834.94/1,393.06
  6. Step 6: Final answer
    x = 628.71

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Why These Related Problems?

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