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Finding the Fourth Proportional to 894.96, 1,343.16 and 462.36

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Solution

The fourth proportional to 894.96, 1,343.16 and 462.36 is: 693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.96 : 1,343.16 = 462.36 : x
  2. Step 2: Convert to fraction form
    894.96/1,343.16 = 462.36/x
  3. Step 3: Cross multiply
    894.96x = 1,343.16 × 462.36
  4. Step 4: Simplify right side
    894.96x = 621,023.46
  5. Step 5: Solve for x
    x = 621,023.46/894.96
  6. Step 6: Final answer
    x = 693.91

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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.