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Finding the Fourth Proportional to 650.92, 897.78 and 511.24

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Solution

The fourth proportional to 650.92, 897.78 and 511.24 is: 705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.92 : 897.78 = 511.24 : x
  2. Step 2: Convert to fraction form
    650.92/897.78 = 511.24/x
  3. Step 3: Cross multiply
    650.92x = 897.78 × 511.24
  4. Step 4: Simplify right side
    650.92x = 458,981.05
  5. Step 5: Solve for x
    x = 458,981.05/650.92
  6. Step 6: Final answer
    x = 705.13

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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.