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Finding the Fourth Proportional to 1,101.32, 1,651.98 and 279.66

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Solution

The fourth proportional to 1,101.32, 1,651.98 and 279.66 is: 419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.32 : 1,651.98 = 279.66 : x
  2. Step 2: Convert to fraction form
    1,101.32/1,651.98 = 279.66/x
  3. Step 3: Cross multiply
    1,101.32x = 1,651.98 × 279.66
  4. Step 4: Simplify right side
    1,101.32x = 461,992.73
  5. Step 5: Solve for x
    x = 461,992.73/1,101.32
  6. Step 6: Final answer
    x = 419.49

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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.