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Finding the Fourth Proportional to 1,006.22, 1,388.55 and 564.13

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Solution

The fourth proportional to 1,006.22, 1,388.55 and 564.13 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.22 : 1,388.55 = 564.13 : x
  2. Step 2: Convert to fraction form
    1,006.22/1,388.55 = 564.13/x
  3. Step 3: Cross multiply
    1,006.22x = 1,388.55 × 564.13
  4. Step 4: Simplify right side
    1,006.22x = 783,319.24
  5. Step 5: Solve for x
    x = 783,319.24/1,006.22
  6. Step 6: Final answer
    x = 778.48

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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.