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Finding the Fourth Proportional to 894.28, 1,233.64 and 562.08

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Solution

The fourth proportional to 894.28, 1,233.64 and 562.08 is: 775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.28 : 1,233.64 = 562.08 : x
  2. Step 2: Convert to fraction form
    894.28/1,233.64 = 562.08/x
  3. Step 3: Cross multiply
    894.28x = 1,233.64 × 562.08
  4. Step 4: Simplify right side
    894.28x = 693,404.37
  5. Step 5: Solve for x
    x = 693,404.37/894.28
  6. Step 6: Final answer
    x = 775.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.