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Finding the Fourth Proportional to 807.93, 1,114.98 and 476.37

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Solution

The fourth proportional to 807.93, 1,114.98 and 476.37 is: 657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.93 : 1,114.98 = 476.37 : x
  2. Step 2: Convert to fraction form
    807.93/1,114.98 = 476.37/x
  3. Step 3: Cross multiply
    807.93x = 1,114.98 × 476.37
  4. Step 4: Simplify right side
    807.93x = 531,143.02
  5. Step 5: Solve for x
    x = 531,143.02/807.93
  6. Step 6: Final answer
    x = 657.41

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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.