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Finding the Fourth Proportional to 1,001.12, 1,494.03 and 891.77

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Solution

The fourth proportional to 1,001.12, 1,494.03 and 891.77 is: 1,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.12 : 1,494.03 = 891.77 : x
  2. Step 2: Convert to fraction form
    1,001.12/1,494.03 = 891.77/x
  3. Step 3: Cross multiply
    1,001.12x = 1,494.03 × 891.77
  4. Step 4: Simplify right side
    1,001.12x = 1,332,323.66
  5. Step 5: Solve for x
    x = 1,332,323.66/1,001.12
  6. Step 6: Final answer
    x = 1,330.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.