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Finding the Fourth Proportional to 649.86, 896.18 and 525.44

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Solution

The fourth proportional to 649.86, 896.18 and 525.44 is: 724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 896.18 = 525.44 : x
  2. Step 2: Convert to fraction form
    649.86/896.18 = 525.44/x
  3. Step 3: Cross multiply
    649.86x = 896.18 × 525.44
  4. Step 4: Simplify right side
    649.86x = 470,881.71
  5. Step 5: Solve for x
    x = 470,881.71/649.86
  6. Step 6: Final answer
    x = 724.59

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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.