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Finding the Fourth Proportional to 821.99, 1,232.53 and 590.99

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Solution

The fourth proportional to 821.99, 1,232.53 and 590.99 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.99 : 1,232.53 = 590.99 : x
  2. Step 2: Convert to fraction form
    821.99/1,232.53 = 590.99/x
  3. Step 3: Cross multiply
    821.99x = 1,232.53 × 590.99
  4. Step 4: Simplify right side
    821.99x = 728,412.90
  5. Step 5: Solve for x
    x = 728,412.90/821.99
  6. Step 6: Final answer
    x = 886.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.