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Finding the Fourth Proportional to 564.09, 849.71 and 513.06

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Solution

The fourth proportional to 564.09, 849.71 and 513.06 is: 772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.09 : 849.71 = 513.06 : x
  2. Step 2: Convert to fraction form
    564.09/849.71 = 513.06/x
  3. Step 3: Cross multiply
    564.09x = 849.71 × 513.06
  4. Step 4: Simplify right side
    564.09x = 435,949.65
  5. Step 5: Solve for x
    x = 435,949.65/564.09
  6. Step 6: Final answer
    x = 772.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.