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Finding the Fourth Proportional to 1,006.86, 1,389.03 and 564.78

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Solution

The fourth proportional to 1,006.86, 1,389.03 and 564.78 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.86 : 1,389.03 = 564.78 : x
  2. Step 2: Convert to fraction form
    1,006.86/1,389.03 = 564.78/x
  3. Step 3: Cross multiply
    1,006.86x = 1,389.03 × 564.78
  4. Step 4: Simplify right side
    1,006.86x = 784,496.36
  5. Step 5: Solve for x
    x = 784,496.36/1,006.86
  6. Step 6: Final answer
    x = 779.15

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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.