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Finding the Fourth Proportional to 1,199.48, 1,799.08 and 891.79

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Solution

The fourth proportional to 1,199.48, 1,799.08 and 891.79 is: 1,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.48 : 1,799.08 = 891.79 : x
  2. Step 2: Convert to fraction form
    1,199.48/1,799.08 = 891.79/x
  3. Step 3: Cross multiply
    1,199.48x = 1,799.08 × 891.79
  4. Step 4: Simplify right side
    1,199.48x = 1,604,394.83
  5. Step 5: Solve for x
    x = 1,604,394.83/1,199.48
  6. Step 6: Final answer
    x = 1,337.58

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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.