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Finding the Fourth Proportional to 1,006.74, 1,389.16 and 564.52

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Solution

The fourth proportional to 1,006.74, 1,389.16 and 564.52 is: 778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.74 : 1,389.16 = 564.52 : x
  2. Step 2: Convert to fraction form
    1,006.74/1,389.16 = 564.52/x
  3. Step 3: Cross multiply
    1,006.74x = 1,389.16 × 564.52
  4. Step 4: Simplify right side
    1,006.74x = 784,208.60
  5. Step 5: Solve for x
    x = 784,208.60/1,006.74
  6. Step 6: Final answer
    x = 778.96

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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.