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Finding the Fourth Proportional to 599.96, 832.93 and 582.14

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Solution

The fourth proportional to 599.96, 832.93 and 582.14 is: 808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 832.93 = 582.14 : x
  2. Step 2: Convert to fraction form
    599.96/832.93 = 582.14/x
  3. Step 3: Cross multiply
    599.96x = 832.93 × 582.14
  4. Step 4: Simplify right side
    599.96x = 484,878.96
  5. Step 5: Solve for x
    x = 484,878.96/599.96
  6. Step 6: Final answer
    x = 808.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.