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Finding the Fourth Proportional to 814.48, 1,220.64 and 597.04

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Solution

The fourth proportional to 814.48, 1,220.64 and 597.04 is: 894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.48 : 1,220.64 = 597.04 : x
  2. Step 2: Convert to fraction form
    814.48/1,220.64 = 597.04/x
  3. Step 3: Cross multiply
    814.48x = 1,220.64 × 597.04
  4. Step 4: Simplify right side
    814.48x = 728,770.91
  5. Step 5: Solve for x
    x = 728,770.91/814.48
  6. Step 6: Final answer
    x = 894.77

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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.