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Finding the Fourth Proportional to 1,199.52, 1,658.16 and 853.20

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Solution

The fourth proportional to 1,199.52, 1,658.16 and 853.20 is: 1,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.52 : 1,658.16 = 853.20 : x
  2. Step 2: Convert to fraction form
    1,199.52/1,658.16 = 853.20/x
  3. Step 3: Cross multiply
    1,199.52x = 1,658.16 × 853.20
  4. Step 4: Simplify right side
    1,199.52x = 1,414,742.11
  5. Step 5: Solve for x
    x = 1,414,742.11/1,199.52
  6. Step 6: Final answer
    x = 1,179.42

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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.