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Finding the Fourth Proportional to 807.58, 1,210.74 and 563.38

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Solution

The fourth proportional to 807.58, 1,210.74 and 563.38 is: 844.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.58 : 1,210.74 = 563.38 : x
  2. Step 2: Convert to fraction form
    807.58/1,210.74 = 563.38/x
  3. Step 3: Cross multiply
    807.58x = 1,210.74 × 563.38
  4. Step 4: Simplify right side
    807.58x = 682,106.70
  5. Step 5: Solve for x
    x = 682,106.70/807.58
  6. Step 6: Final answer
    x = 844.63

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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.