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Finding the Fourth Proportional to 1,311.52, 1,967.14 and 823.12

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Solution

The fourth proportional to 1,311.52, 1,967.14 and 823.12 is: 1,234.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.52 : 1,967.14 = 823.12 : x
  2. Step 2: Convert to fraction form
    1,311.52/1,967.14 = 823.12/x
  3. Step 3: Cross multiply
    1,311.52x = 1,967.14 × 823.12
  4. Step 4: Simplify right side
    1,311.52x = 1,619,192.28
  5. Step 5: Solve for x
    x = 1,619,192.28/1,311.52
  6. Step 6: Final answer
    x = 1,234.59

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1.5x scale

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.