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Finding the Fourth Proportional to 814.24, 1,222.98 and 597.16

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Solution

The fourth proportional to 814.24, 1,222.98 and 597.16 is: 896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.24 : 1,222.98 = 597.16 : x
  2. Step 2: Convert to fraction form
    814.24/1,222.98 = 597.16/x
  3. Step 3: Cross multiply
    814.24x = 1,222.98 × 597.16
  4. Step 4: Simplify right side
    814.24x = 730,314.74
  5. Step 5: Solve for x
    x = 730,314.74/814.24
  6. Step 6: Final answer
    x = 896.93

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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.