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Finding the Fourth Proportional to 807.93, 1,114.96 and 493.16

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Solution

The fourth proportional to 807.93, 1,114.96 and 493.16 is: 680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.93 : 1,114.96 = 493.16 : x
  2. Step 2: Convert to fraction form
    807.93/1,114.96 = 493.16/x
  3. Step 3: Cross multiply
    807.93x = 1,114.96 × 493.16
  4. Step 4: Simplify right side
    807.93x = 549,846.87
  5. Step 5: Solve for x
    x = 549,846.87/807.93
  6. Step 6: Final answer
    x = 680.56

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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.