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Finding the Fourth Proportional to 1,069.74, 1,476.39 and 650.13

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Solution

The fourth proportional to 1,069.74, 1,476.39 and 650.13 is: 897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.74 : 1,476.39 = 650.13 : x
  2. Step 2: Convert to fraction form
    1,069.74/1,476.39 = 650.13/x
  3. Step 3: Cross multiply
    1,069.74x = 1,476.39 × 650.13
  4. Step 4: Simplify right side
    1,069.74x = 959,845.43
  5. Step 5: Solve for x
    x = 959,845.43/1,069.74
  6. Step 6: Final answer
    x = 897.27

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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.