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Finding the Fourth Proportional to 1,356.22, 1,872.04 and 964.38

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Solution

The fourth proportional to 1,356.22, 1,872.04 and 964.38 is: 1,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.22 : 1,872.04 = 964.38 : x
  2. Step 2: Convert to fraction form
    1,356.22/1,872.04 = 964.38/x
  3. Step 3: Cross multiply
    1,356.22x = 1,872.04 × 964.38
  4. Step 4: Simplify right side
    1,356.22x = 1,805,357.94
  5. Step 5: Solve for x
    x = 1,805,357.94/1,356.22
  6. Step 6: Final answer
    x = 1,331.17

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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.