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Finding the Fourth Proportional to 994.06, 1,488.54 and 964.87

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Solution

The fourth proportional to 994.06, 1,488.54 and 964.87 is: 1,444.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.06 : 1,488.54 = 964.87 : x
  2. Step 2: Convert to fraction form
    994.06/1,488.54 = 964.87/x
  3. Step 3: Cross multiply
    994.06x = 1,488.54 × 964.87
  4. Step 4: Simplify right side
    994.06x = 1,436,247.59
  5. Step 5: Solve for x
    x = 1,436,247.59/994.06
  6. Step 6: Final answer
    x = 1,444.83

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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.