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Finding the Fourth Proportional to 1,006.46, 1,388.78 and 564.25

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Solution

The fourth proportional to 1,006.46, 1,388.78 and 564.25 is: 778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.46 : 1,388.78 = 564.25 : x
  2. Step 2: Convert to fraction form
    1,006.46/1,388.78 = 564.25/x
  3. Step 3: Cross multiply
    1,006.46x = 1,388.78 × 564.25
  4. Step 4: Simplify right side
    1,006.46x = 783,619.12
  5. Step 5: Solve for x
    x = 783,619.12/1,006.46
  6. Step 6: Final answer
    x = 778.59

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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.