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Finding the Fourth Proportional to 896.78, 1,342.74 and 463.02

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Solution

The fourth proportional to 896.78, 1,342.74 and 463.02 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.78 : 1,342.74 = 463.02 : x
  2. Step 2: Convert to fraction form
    896.78/1,342.74 = 463.02/x
  3. Step 3: Cross multiply
    896.78x = 1,342.74 × 463.02
  4. Step 4: Simplify right side
    896.78x = 621,715.47
  5. Step 5: Solve for x
    x = 621,715.47/896.78
  6. Step 6: Final answer
    x = 693.28

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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.