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Finding the Fourth Proportional to 1,338.69, 2,006.51 and 753.97

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Solution

The fourth proportional to 1,338.69, 2,006.51 and 753.97 is: 1,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.69 : 2,006.51 = 753.97 : x
  2. Step 2: Convert to fraction form
    1,338.69/2,006.51 = 753.97/x
  3. Step 3: Cross multiply
    1,338.69x = 2,006.51 × 753.97
  4. Step 4: Simplify right side
    1,338.69x = 1,512,848.34
  5. Step 5: Solve for x
    x = 1,512,848.34/1,338.69
  6. Step 6: Final answer
    x = 1,130.10

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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.