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Finding the Fourth Proportional to 994.02, 1,491.80 and 500.93

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Solution

The fourth proportional to 994.02, 1,491.80 and 500.93 is: 751.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.02 : 1,491.80 = 500.93 : x
  2. Step 2: Convert to fraction form
    994.02/1,491.80 = 500.93/x
  3. Step 3: Cross multiply
    994.02x = 1,491.80 × 500.93
  4. Step 4: Simplify right side
    994.02x = 747,294.21
  5. Step 5: Solve for x
    x = 747,294.21/994.02
  6. Step 6: Final answer
    x = 751.79

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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.