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Finding the Fourth Proportional to 807.13, 1,210.70 and 344.83

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Solution

The fourth proportional to 807.13, 1,210.70 and 344.83 is: 517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.13 : 1,210.70 = 344.83 : x
  2. Step 2: Convert to fraction form
    807.13/1,210.70 = 344.83/x
  3. Step 3: Cross multiply
    807.13x = 1,210.70 × 344.83
  4. Step 4: Simplify right side
    807.13x = 417,485.68
  5. Step 5: Solve for x
    x = 417,485.68/807.13
  6. Step 6: Final answer
    x = 517.25

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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.