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Finding the Fourth Proportional to 894.14, 1,233.76 and 501.16

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Solution

The fourth proportional to 894.14, 1,233.76 and 501.16 is: 691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.14 : 1,233.76 = 501.16 : x
  2. Step 2: Convert to fraction form
    894.14/1,233.76 = 501.16/x
  3. Step 3: Cross multiply
    894.14x = 1,233.76 × 501.16
  4. Step 4: Simplify right side
    894.14x = 618,311.16
  5. Step 5: Solve for x
    x = 618,311.16/894.14
  6. Step 6: Final answer
    x = 691.51

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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.