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Finding the Fourth Proportional to 837.65, 1,257.09 and 473.15

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Solution

The fourth proportional to 837.65, 1,257.09 and 473.15 is: 710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.65 : 1,257.09 = 473.15 : x
  2. Step 2: Convert to fraction form
    837.65/1,257.09 = 473.15/x
  3. Step 3: Cross multiply
    837.65x = 1,257.09 × 473.15
  4. Step 4: Simplify right side
    837.65x = 594,793.50
  5. Step 5: Solve for x
    x = 594,793.50/837.65
  6. Step 6: Final answer
    x = 710.07

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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.