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Finding the Fourth Proportional to 896.68, 1,345.16 and 409.74

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Solution

The fourth proportional to 896.68, 1,345.16 and 409.74 is: 614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.68 : 1,345.16 = 409.74 : x
  2. Step 2: Convert to fraction form
    896.68/1,345.16 = 409.74/x
  3. Step 3: Cross multiply
    896.68x = 1,345.16 × 409.74
  4. Step 4: Simplify right side
    896.68x = 551,157.08
  5. Step 5: Solve for x
    x = 551,157.08/896.68
  6. Step 6: Final answer
    x = 614.66

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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.