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Finding the Fourth Proportional to 894.92, 1,235.12 and 522.01

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Solution

The fourth proportional to 894.92, 1,235.12 and 522.01 is: 720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.92 : 1,235.12 = 522.01 : x
  2. Step 2: Convert to fraction form
    894.92/1,235.12 = 522.01/x
  3. Step 3: Cross multiply
    894.92x = 1,235.12 × 522.01
  4. Step 4: Simplify right side
    894.92x = 644,743.93
  5. Step 5: Solve for x
    x = 644,743.93/894.92
  6. Step 6: Final answer
    x = 720.45

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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.