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Finding the Fourth Proportional to 994.65, 1,490.82 and 524.85

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Solution

The fourth proportional to 994.65, 1,490.82 and 524.85 is: 786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.65 : 1,490.82 = 524.85 : x
  2. Step 2: Convert to fraction form
    994.65/1,490.82 = 524.85/x
  3. Step 3: Cross multiply
    994.65x = 1,490.82 × 524.85
  4. Step 4: Simplify right side
    994.65x = 782,456.88
  5. Step 5: Solve for x
    x = 782,456.88/994.65
  6. Step 6: Final answer
    x = 786.67

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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.