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Finding the Fourth Proportional to 894.51, 1,233.90 and 562.41

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Solution

The fourth proportional to 894.51, 1,233.90 and 562.41 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.51 : 1,233.90 = 562.41 : x
  2. Step 2: Convert to fraction form
    894.51/1,233.90 = 562.41/x
  3. Step 3: Cross multiply
    894.51x = 1,233.90 × 562.41
  4. Step 4: Simplify right side
    894.51x = 693,957.70
  5. Step 5: Solve for x
    x = 693,957.70/894.51
  6. Step 6: Final answer
    x = 775.80

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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.