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Finding the Fourth Proportional to 1,006.13, 1,388.47 and 564.04

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Solution

The fourth proportional to 1,006.13, 1,388.47 and 564.04 is: 778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.13 : 1,388.47 = 564.04 : x
  2. Step 2: Convert to fraction form
    1,006.13/1,388.47 = 564.04/x
  3. Step 3: Cross multiply
    1,006.13x = 1,388.47 × 564.04
  4. Step 4: Simplify right side
    1,006.13x = 783,145.05
  5. Step 5: Solve for x
    x = 783,145.05/1,006.13
  6. Step 6: Final answer
    x = 778.37

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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.