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Finding the Fourth Proportional to 807.66, 1,212 and 563.76

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Solution

The fourth proportional to 807.66, 1,212 and 563.76 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.66 : 1,212 = 563.76 : x
  2. Step 2: Convert to fraction form
    807.66/1,212 = 563.76/x
  3. Step 3: Cross multiply
    807.66x = 1,212 × 563.76
  4. Step 4: Simplify right side
    807.66x = 683,277.12
  5. Step 5: Solve for x
    x = 683,277.12/807.66
  6. Step 6: Final answer
    x = 846.00

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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.