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Finding the Fourth Proportional to 807.74, 1,114.70 and 572.11

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Solution

The fourth proportional to 807.74, 1,114.70 and 572.11 is: 789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.74 : 1,114.70 = 572.11 : x
  2. Step 2: Convert to fraction form
    807.74/1,114.70 = 572.11/x
  3. Step 3: Cross multiply
    807.74x = 1,114.70 × 572.11
  4. Step 4: Simplify right side
    807.74x = 637,731.02
  5. Step 5: Solve for x
    x = 637,731.02/807.74
  6. Step 6: Final answer
    x = 789.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.