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Finding the Fourth Proportional to 1,046.26, 1,569.07 and 396.84

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Solution

The fourth proportional to 1,046.26, 1,569.07 and 396.84 is: 595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.26 : 1,569.07 = 396.84 : x
  2. Step 2: Convert to fraction form
    1,046.26/1,569.07 = 396.84/x
  3. Step 3: Cross multiply
    1,046.26x = 1,569.07 × 396.84
  4. Step 4: Simplify right side
    1,046.26x = 622,669.74
  5. Step 5: Solve for x
    x = 622,669.74/1,046.26
  6. Step 6: Final answer
    x = 595.14

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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.