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Finding the Fourth Proportional to 1,006.13, 1,388.51 and 564.09

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Solution

The fourth proportional to 1,006.13, 1,388.51 and 564.09 is: 778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,388.51 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,388.51 = 564.09/x
  3. Step 3: Cross multiply
    1,006.13x = 1,388.51 × 564.09
  4. Step 4: Simplify right side
    1,006.13x = 783,241.79
  5. Step 5: Solve for x
    x = 783,241.79/1,006.13
  6. Step 6: Final answer
    x = 778.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.