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Finding the Fourth Proportional to 709.76, 1,064.81 and 564.05

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Solution

The fourth proportional to 709.76, 1,064.81 and 564.05 is: 846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.76 : 1,064.81 = 564.05 : x
  2. Step 2: Convert to fraction form
    709.76/1,064.81 = 564.05/x
  3. Step 3: Cross multiply
    709.76x = 1,064.81 × 564.05
  4. Step 4: Simplify right side
    709.76x = 600,605.92
  5. Step 5: Solve for x
    x = 600,605.92/709.76
  6. Step 6: Final answer
    x = 846.22

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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.