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Finding the Fourth Proportional to 1,006.47, 1,388.88 and 564.41

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Solution

The fourth proportional to 1,006.47, 1,388.88 and 564.41 is: 778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.47 : 1,388.88 = 564.41 : x
  2. Step 2: Convert to fraction form
    1,006.47/1,388.88 = 564.41/x
  3. Step 3: Cross multiply
    1,006.47x = 1,388.88 × 564.41
  4. Step 4: Simplify right side
    1,006.47x = 783,903.35
  5. Step 5: Solve for x
    x = 783,903.35/1,006.47
  6. Step 6: Final answer
    x = 778.86

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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.