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Finding the Fourth Proportional to 771.50, 1,064.68 and 439.92

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Solution

The fourth proportional to 771.50, 1,064.68 and 439.92 is: 607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,064.68 = 439.92 : x
  2. Step 2: Convert to fraction form
    771.50/1,064.68 = 439.92/x
  3. Step 3: Cross multiply
    771.50x = 1,064.68 × 439.92
  4. Step 4: Simplify right side
    771.50x = 468,373.28
  5. Step 5: Solve for x
    x = 468,373.28/771.50
  6. Step 6: Final answer
    x = 607.09

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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.