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Finding the Fourth Proportional to 1,006.16, 1,388.36 and 564

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Solution

The fourth proportional to 1,006.16, 1,388.36 and 564 is: 778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.16 : 1,388.36 = 564 : x
  2. Step 2: Convert to fraction form
    1,006.16/1,388.36 = 564/x
  3. Step 3: Cross multiply
    1,006.16x = 1,388.36 × 564
  4. Step 4: Simplify right side
    1,006.16x = 783,035.04
  5. Step 5: Solve for x
    x = 783,035.04/1,006.16
  6. Step 6: Final answer
    x = 778.24

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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.