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Finding the Fourth Proportional to 894.16, 1,233.76 and 539.92

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Solution

The fourth proportional to 894.16, 1,233.76 and 539.92 is: 744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,233.76 = 539.92 : x
  2. Step 2: Convert to fraction form
    894.16/1,233.76 = 539.92/x
  3. Step 3: Cross multiply
    894.16x = 1,233.76 × 539.92
  4. Step 4: Simplify right side
    894.16x = 666,131.70
  5. Step 5: Solve for x
    x = 666,131.70/894.16
  6. Step 6: Final answer
    x = 744.98

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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.