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Finding the Fourth Proportional to 835.64, 1,253.46 and 315.90

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Solution

The fourth proportional to 835.64, 1,253.46 and 315.90 is: 473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.64 : 1,253.46 = 315.90 : x
  2. Step 2: Convert to fraction form
    835.64/1,253.46 = 315.90/x
  3. Step 3: Cross multiply
    835.64x = 1,253.46 × 315.90
  4. Step 4: Simplify right side
    835.64x = 395,968.01
  5. Step 5: Solve for x
    x = 395,968.01/835.64
  6. Step 6: Final answer
    x = 473.85

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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.