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Finding the Fourth Proportional to 1,046.48, 1,569.24 and 396.56

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Solution

The fourth proportional to 1,046.48, 1,569.24 and 396.56 is: 594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.48 : 1,569.24 = 396.56 : x
  2. Step 2: Convert to fraction form
    1,046.48/1,569.24 = 396.56/x
  3. Step 3: Cross multiply
    1,046.48x = 1,569.24 × 396.56
  4. Step 4: Simplify right side
    1,046.48x = 622,297.81
  5. Step 5: Solve for x
    x = 622,297.81/1,046.48
  6. Step 6: Final answer
    x = 594.66

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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.