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Finding the Fourth Proportional to 601.92, 901.69 and 568.19

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Solution

The fourth proportional to 601.92, 901.69 and 568.19 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 901.69 = 568.19 : x
  2. Step 2: Convert to fraction form
    601.92/901.69 = 568.19/x
  3. Step 3: Cross multiply
    601.92x = 901.69 × 568.19
  4. Step 4: Simplify right side
    601.92x = 512,331.24
  5. Step 5: Solve for x
    x = 512,331.24/601.92
  6. Step 6: Final answer
    x = 851.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.