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Finding the Fourth Proportional to 649.68, 897.48 and 617.28

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Solution

The fourth proportional to 649.68, 897.48 and 617.28 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.68 : 897.48 = 617.28 : x
  2. Step 2: Convert to fraction form
    649.68/897.48 = 617.28/x
  3. Step 3: Cross multiply
    649.68x = 897.48 × 617.28
  4. Step 4: Simplify right side
    649.68x = 553,996.45
  5. Step 5: Solve for x
    x = 553,996.45/649.68
  6. Step 6: Final answer
    x = 852.72

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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.