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Finding the Fourth Proportional to 994.16, 1,488.48 and 506.16

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Solution

The fourth proportional to 994.16, 1,488.48 and 506.16 is: 757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.16 : 1,488.48 = 506.16 : x
  2. Step 2: Convert to fraction form
    994.16/1,488.48 = 506.16/x
  3. Step 3: Cross multiply
    994.16x = 1,488.48 × 506.16
  4. Step 4: Simplify right side
    994.16x = 753,409.04
  5. Step 5: Solve for x
    x = 753,409.04/994.16
  6. Step 6: Final answer
    x = 757.83

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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.