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Finding the Fourth Proportional to 1,006.12, 1,388.42 and 564

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Solution

The fourth proportional to 1,006.12, 1,388.42 and 564 is: 778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.12 : 1,388.42 = 564 : x
  2. Step 2: Convert to fraction form
    1,006.12/1,388.42 = 564/x
  3. Step 3: Cross multiply
    1,006.12x = 1,388.42 × 564
  4. Step 4: Simplify right side
    1,006.12x = 783,068.88
  5. Step 5: Solve for x
    x = 783,068.88/1,006.12
  6. Step 6: Final answer
    x = 778.31

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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.