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Finding the Fourth Proportional to 994.20, 1,488.94 and 530.82

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Solution

The fourth proportional to 994.20, 1,488.94 and 530.82 is: 794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.20 : 1,488.94 = 530.82 : x
  2. Step 2: Convert to fraction form
    994.20/1,488.94 = 530.82/x
  3. Step 3: Cross multiply
    994.20x = 1,488.94 × 530.82
  4. Step 4: Simplify right side
    994.20x = 790,359.13
  5. Step 5: Solve for x
    x = 790,359.13/994.20
  6. Step 6: Final answer
    x = 794.97

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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.