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Finding the Fourth Proportional to 807.98, 1,210.62 and 777.61

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Solution

The fourth proportional to 807.98, 1,210.62 and 777.61 is: 1,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.98 : 1,210.62 = 777.61 : x
  2. Step 2: Convert to fraction form
    807.98/1,210.62 = 777.61/x
  3. Step 3: Cross multiply
    807.98x = 1,210.62 × 777.61
  4. Step 4: Simplify right side
    807.98x = 941,390.22
  5. Step 5: Solve for x
    x = 941,390.22/807.98
  6. Step 6: Final answer
    x = 1,165.12

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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.