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Finding the Fourth Proportional to 945.99, 1,306.46 and 842.92

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Solution

The fourth proportional to 945.99, 1,306.46 and 842.92 is: 1,164.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.99 : 1,306.46 = 842.92 : x
  2. Step 2: Convert to fraction form
    945.99/1,306.46 = 842.92/x
  3. Step 3: Cross multiply
    945.99x = 1,306.46 × 842.92
  4. Step 4: Simplify right side
    945.99x = 1,101,240.10
  5. Step 5: Solve for x
    x = 1,101,240.10/945.99
  6. Step 6: Final answer
    x = 1,164.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.