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Finding the Fourth Proportional to 836.53, 1,253.93 and 316.16

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Solution

The fourth proportional to 836.53, 1,253.93 and 316.16 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.53 : 1,253.93 = 316.16 : x
  2. Step 2: Convert to fraction form
    836.53/1,253.93 = 316.16/x
  3. Step 3: Cross multiply
    836.53x = 1,253.93 × 316.16
  4. Step 4: Simplify right side
    836.53x = 396,439.36
  5. Step 5: Solve for x
    x = 396,439.36/836.53
  6. Step 6: Final answer
    x = 473.91

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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.