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Finding the Fourth Proportional to 1,006.74, 1,389.20 and 564.68

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Solution

The fourth proportional to 1,006.74, 1,389.20 and 564.68 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.74 : 1,389.20 = 564.68 : x
  2. Step 2: Convert to fraction form
    1,006.74/1,389.20 = 564.68/x
  3. Step 3: Cross multiply
    1,006.74x = 1,389.20 × 564.68
  4. Step 4: Simplify right side
    1,006.74x = 784,454.11
  5. Step 5: Solve for x
    x = 784,454.11/1,006.74
  6. Step 6: Final answer
    x = 779.20

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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.