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Finding the Fourth Proportional to 896.04, 1,342.98 and 462.96

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Solution

The fourth proportional to 896.04, 1,342.98 and 462.96 is: 693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.04 : 1,342.98 = 462.96 : x
  2. Step 2: Convert to fraction form
    896.04/1,342.98 = 462.96/x
  3. Step 3: Cross multiply
    896.04x = 1,342.98 × 462.96
  4. Step 4: Simplify right side
    896.04x = 621,746.02
  5. Step 5: Solve for x
    x = 621,746.02/896.04
  6. Step 6: Final answer
    x = 693.88

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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.