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Finding the Fourth Proportional to 843.82, 1,164.10 and 507.86

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Solution

The fourth proportional to 843.82, 1,164.10 and 507.86 is: 700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.82 : 1,164.10 = 507.86 : x
  2. Step 2: Convert to fraction form
    843.82/1,164.10 = 507.86/x
  3. Step 3: Cross multiply
    843.82x = 1,164.10 × 507.86
  4. Step 4: Simplify right side
    843.82x = 591,192.74
  5. Step 5: Solve for x
    x = 591,192.74/843.82
  6. Step 6: Final answer
    x = 700.62

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