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Finding the Fourth Proportional to 1,373.14, 2,062.55 and 853.73

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Solution

The fourth proportional to 1,373.14, 2,062.55 and 853.73 is: 1,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.14 : 2,062.55 = 853.73 : x
  2. Step 2: Convert to fraction form
    1,373.14/2,062.55 = 853.73/x
  3. Step 3: Cross multiply
    1,373.14x = 2,062.55 × 853.73
  4. Step 4: Simplify right side
    1,373.14x = 1,760,860.81
  5. Step 5: Solve for x
    x = 1,760,860.81/1,373.14
  6. Step 6: Final answer
    x = 1,282.36

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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.