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Finding the Fourth Proportional to 649.58, 896.52 and 557.24

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Solution

The fourth proportional to 649.58, 896.52 and 557.24 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 896.52 = 557.24 : x
  2. Step 2: Convert to fraction form
    649.58/896.52 = 557.24/x
  3. Step 3: Cross multiply
    649.58x = 896.52 × 557.24
  4. Step 4: Simplify right side
    649.58x = 499,572.32
  5. Step 5: Solve for x
    x = 499,572.32/649.58
  6. Step 6: Final answer
    x = 769.08

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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.