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Finding the Fourth Proportional to 786.21, 1,082.21 and 564.81

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Solution

The fourth proportional to 786.21, 1,082.21 and 564.81 is: 777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.21 : 1,082.21 = 564.81 : x
  2. Step 2: Convert to fraction form
    786.21/1,082.21 = 564.81/x
  3. Step 3: Cross multiply
    786.21x = 1,082.21 × 564.81
  4. Step 4: Simplify right side
    786.21x = 611,240.21
  5. Step 5: Solve for x
    x = 611,240.21/786.21
  6. Step 6: Final answer
    x = 777.45

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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.