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Finding the Fourth Proportional to 649.76, 896.16 and 601.20

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Solution

The fourth proportional to 649.76, 896.16 and 601.20 is: 829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 896.16 = 601.20 : x
  2. Step 2: Convert to fraction form
    649.76/896.16 = 601.20/x
  3. Step 3: Cross multiply
    649.76x = 896.16 × 601.20
  4. Step 4: Simplify right side
    649.76x = 538,771.39
  5. Step 5: Solve for x
    x = 538,771.39/649.76
  6. Step 6: Final answer
    x = 829.19

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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.