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Finding the Fourth Proportional to 835.65, 1,253.71 and 315.70

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Solution

The fourth proportional to 835.65, 1,253.71 and 315.70 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.65 : 1,253.71 = 315.70 : x
  2. Step 2: Convert to fraction form
    835.65/1,253.71 = 315.70/x
  3. Step 3: Cross multiply
    835.65x = 1,253.71 × 315.70
  4. Step 4: Simplify right side
    835.65x = 395,793.51
  5. Step 5: Solve for x
    x = 395,793.51/835.65
  6. Step 6: Final answer
    x = 473.64

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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.