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Finding the Fourth Proportional to 951.82, 1,313.01 and 578.68

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Solution

The fourth proportional to 951.82, 1,313.01 and 578.68 is: 798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.82 : 1,313.01 = 578.68 : x
  2. Step 2: Convert to fraction form
    951.82/1,313.01 = 578.68/x
  3. Step 3: Cross multiply
    951.82x = 1,313.01 × 578.68
  4. Step 4: Simplify right side
    951.82x = 759,809.34
  5. Step 5: Solve for x
    x = 759,809.34/951.82
  6. Step 6: Final answer
    x = 798.27

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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.