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Finding the Fourth Proportional to 807.98, 1,210.43 and 546.70

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Solution

The fourth proportional to 807.98, 1,210.43 and 546.70 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.98 : 1,210.43 = 546.70 : x
  2. Step 2: Convert to fraction form
    807.98/1,210.43 = 546.70/x
  3. Step 3: Cross multiply
    807.98x = 1,210.43 × 546.70
  4. Step 4: Simplify right side
    807.98x = 661,742.08
  5. Step 5: Solve for x
    x = 661,742.08/807.98
  6. Step 6: Final answer
    x = 819.01

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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.