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Finding the Fourth Proportional to 1,355.27, 2,033.12 and 430.56

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Solution

The fourth proportional to 1,355.27, 2,033.12 and 430.56 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.27 : 2,033.12 = 430.56 : x
  2. Step 2: Convert to fraction form
    1,355.27/2,033.12 = 430.56/x
  3. Step 3: Cross multiply
    1,355.27x = 2,033.12 × 430.56
  4. Step 4: Simplify right side
    1,355.27x = 875,377.99
  5. Step 5: Solve for x
    x = 875,377.99/1,355.27
  6. Step 6: Final answer
    x = 645.91

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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.