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Finding the Fourth Proportional to 1,429.41, 2,144.91 and 564.33

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Solution

The fourth proportional to 1,429.41, 2,144.91 and 564.33 is: 846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.41 : 2,144.91 = 564.33 : x
  2. Step 2: Convert to fraction form
    1,429.41/2,144.91 = 564.33/x
  3. Step 3: Cross multiply
    1,429.41x = 2,144.91 × 564.33
  4. Step 4: Simplify right side
    1,429.41x = 1,210,437.06
  5. Step 5: Solve for x
    x = 1,210,437.06/1,429.41
  6. Step 6: Final answer
    x = 846.81

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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.