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Finding the Fourth Proportional to 896.59, 1,344.66 and 457.54

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Solution

The fourth proportional to 896.59, 1,344.66 and 457.54 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.59 : 1,344.66 = 457.54 : x
  2. Step 2: Convert to fraction form
    896.59/1,344.66 = 457.54/x
  3. Step 3: Cross multiply
    896.59x = 1,344.66 × 457.54
  4. Step 4: Simplify right side
    896.59x = 615,235.74
  5. Step 5: Solve for x
    x = 615,235.74/896.59
  6. Step 6: Final answer
    x = 686.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.