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Finding the Fourth Proportional to 649.46, 975.53 and 552.11

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Solution

The fourth proportional to 649.46, 975.53 and 552.11 is: 829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.46 : 975.53 = 552.11 : x
  2. Step 2: Convert to fraction form
    649.46/975.53 = 552.11/x
  3. Step 3: Cross multiply
    649.46x = 975.53 × 552.11
  4. Step 4: Simplify right side
    649.46x = 538,596.37
  5. Step 5: Solve for x
    x = 538,596.37/649.46
  6. Step 6: Final answer
    x = 829.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.