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Finding the Fourth Proportional to 1,006.47, 1,388.94 and 564.37

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Solution

The fourth proportional to 1,006.47, 1,388.94 and 564.37 is: 778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.47 : 1,388.94 = 564.37 : x
  2. Step 2: Convert to fraction form
    1,006.47/1,388.94 = 564.37/x
  3. Step 3: Cross multiply
    1,006.47x = 1,388.94 × 564.37
  4. Step 4: Simplify right side
    1,006.47x = 783,876.72
  5. Step 5: Solve for x
    x = 783,876.72/1,006.47
  6. Step 6: Final answer
    x = 778.84

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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.