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Finding the Fourth Proportional to 771.28, 1,064.46 and 509.84

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Solution

The fourth proportional to 771.28, 1,064.46 and 509.84 is: 703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.28 : 1,064.46 = 509.84 : x
  2. Step 2: Convert to fraction form
    771.28/1,064.46 = 509.84/x
  3. Step 3: Cross multiply
    771.28x = 1,064.46 × 509.84
  4. Step 4: Simplify right side
    771.28x = 542,704.29
  5. Step 5: Solve for x
    x = 542,704.29/771.28
  6. Step 6: Final answer
    x = 703.64

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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.