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Finding the Fourth Proportional to 771.21, 1,064.48 and 614.11

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Solution

The fourth proportional to 771.21, 1,064.48 and 614.11 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.21 : 1,064.48 = 614.11 : x
  2. Step 2: Convert to fraction form
    771.21/1,064.48 = 614.11/x
  3. Step 3: Cross multiply
    771.21x = 1,064.48 × 614.11
  4. Step 4: Simplify right side
    771.21x = 653,707.81
  5. Step 5: Solve for x
    x = 653,707.81/771.21
  6. Step 6: Final answer
    x = 847.64

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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.