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Finding the Fourth Proportional to 817.02, 1,127.79 and 597.11

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Solution

The fourth proportional to 817.02, 1,127.79 and 597.11 is: 824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.02 : 1,127.79 = 597.11 : x
  2. Step 2: Convert to fraction form
    817.02/1,127.79 = 597.11/x
  3. Step 3: Cross multiply
    817.02x = 1,127.79 × 597.11
  4. Step 4: Simplify right side
    817.02x = 673,409.05
  5. Step 5: Solve for x
    x = 673,409.05/817.02
  6. Step 6: Final answer
    x = 824.23

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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.