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Finding the Fourth Proportional to 999.79, 1,494.75 and 847.42

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Solution

The fourth proportional to 999.79, 1,494.75 and 847.42 is: 1,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.79 : 1,494.75 = 847.42 : x
  2. Step 2: Convert to fraction form
    999.79/1,494.75 = 847.42/x
  3. Step 3: Cross multiply
    999.79x = 1,494.75 × 847.42
  4. Step 4: Simplify right side
    999.79x = 1,266,681.05
  5. Step 5: Solve for x
    x = 1,266,681.05/999.79
  6. Step 6: Final answer
    x = 1,266.95

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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.