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Finding the Fourth Proportional to 1,006.77, 1,389.25 and 564.59

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Solution

The fourth proportional to 1,006.77, 1,389.25 and 564.59 is: 779.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.77 : 1,389.25 = 564.59 : x
  2. Step 2: Convert to fraction form
    1,006.77/1,389.25 = 564.59/x
  3. Step 3: Cross multiply
    1,006.77x = 1,389.25 × 564.59
  4. Step 4: Simplify right side
    1,006.77x = 784,353.02
  5. Step 5: Solve for x
    x = 784,353.02/1,006.77
  6. Step 6: Final answer
    x = 779.08

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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.