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Finding the Fourth Proportional to 853.42, 1,277.08 and 733.12

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Solution

The fourth proportional to 853.42, 1,277.08 and 733.12 is: 1,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,277.08 = 733.12 : x
  2. Step 2: Convert to fraction form
    853.42/1,277.08 = 733.12/x
  3. Step 3: Cross multiply
    853.42x = 1,277.08 × 733.12
  4. Step 4: Simplify right side
    853.42x = 936,252.89
  5. Step 5: Solve for x
    x = 936,252.89/853.42
  6. Step 6: Final answer
    x = 1,097.06

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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.