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Finding the Fourth Proportional to 649.76, 895.20 and 551.48

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Solution

The fourth proportional to 649.76, 895.20 and 551.48 is: 759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 895.20 = 551.48 : x
  2. Step 2: Convert to fraction form
    649.76/895.20 = 551.48/x
  3. Step 3: Cross multiply
    649.76x = 895.20 × 551.48
  4. Step 4: Simplify right side
    649.76x = 493,684.90
  5. Step 5: Solve for x
    x = 493,684.90/649.76
  6. Step 6: Final answer
    x = 759.80

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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.