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Finding the Fourth Proportional to 1,403.33, 2,103.47 and 744.49

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Solution

The fourth proportional to 1,403.33, 2,103.47 and 744.49 is: 1,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.33 : 2,103.47 = 744.49 : x
  2. Step 2: Convert to fraction form
    1,403.33/2,103.47 = 744.49/x
  3. Step 3: Cross multiply
    1,403.33x = 2,103.47 × 744.49
  4. Step 4: Simplify right side
    1,403.33x = 1,566,014.08
  5. Step 5: Solve for x
    x = 1,566,014.08/1,403.33
  6. Step 6: Final answer
    x = 1,115.93

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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.