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Finding the Fourth Proportional to 807.66, 1,210.73 and 441.95

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Solution

The fourth proportional to 807.66, 1,210.73 and 441.95 is: 662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,210.73 = 441.95 : x
  2. Step 2: Convert to fraction form
    807.66/1,210.73 = 441.95/x
  3. Step 3: Cross multiply
    807.66x = 1,210.73 × 441.95
  4. Step 4: Simplify right side
    807.66x = 535,073.86
  5. Step 5: Solve for x
    x = 535,073.86/807.66
  6. Step 6: Final answer
    x = 662.50

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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.