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Finding the Fourth Proportional to 1,368.82, 2,053.25 and 444.38

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Solution

The fourth proportional to 1,368.82, 2,053.25 and 444.38 is: 666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.82 : 2,053.25 = 444.38 : x
  2. Step 2: Convert to fraction form
    1,368.82/2,053.25 = 444.38/x
  3. Step 3: Cross multiply
    1,368.82x = 2,053.25 × 444.38
  4. Step 4: Simplify right side
    1,368.82x = 912,414.08
  5. Step 5: Solve for x
    x = 912,414.08/1,368.82
  6. Step 6: Final answer
    x = 666.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.