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Finding the Fourth Proportional to 1,474.36, 2,033.94 and 853

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Solution

The fourth proportional to 1,474.36, 2,033.94 and 853 is: 1,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.36 : 2,033.94 = 853 : x
  2. Step 2: Convert to fraction form
    1,474.36/2,033.94 = 853/x
  3. Step 3: Cross multiply
    1,474.36x = 2,033.94 × 853
  4. Step 4: Simplify right side
    1,474.36x = 1,734,950.82
  5. Step 5: Solve for x
    x = 1,734,950.82/1,474.36
  6. Step 6: Final answer
    x = 1,176.75

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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.