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Finding the Fourth Proportional to 1,350.41, 2,025.47 and 472.82

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Solution

The fourth proportional to 1,350.41, 2,025.47 and 472.82 is: 709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.41 : 2,025.47 = 472.82 : x
  2. Step 2: Convert to fraction form
    1,350.41/2,025.47 = 472.82/x
  3. Step 3: Cross multiply
    1,350.41x = 2,025.47 × 472.82
  4. Step 4: Simplify right side
    1,350.41x = 957,670.23
  5. Step 5: Solve for x
    x = 957,670.23/1,350.41
  6. Step 6: Final answer
    x = 709.17

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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.