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Finding the Fourth Proportional to 1,006.23, 1,388.66 and 564.19

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Solution

The fourth proportional to 1,006.23, 1,388.66 and 564.19 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.23 : 1,388.66 = 564.19 : x
  2. Step 2: Convert to fraction form
    1,006.23/1,388.66 = 564.19/x
  3. Step 3: Cross multiply
    1,006.23x = 1,388.66 × 564.19
  4. Step 4: Simplify right side
    1,006.23x = 783,468.09
  5. Step 5: Solve for x
    x = 783,468.09/1,006.23
  6. Step 6: Final answer
    x = 778.62

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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.