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Finding the Fourth Proportional to 771.87, 1,065.69 and 477.57

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Solution

The fourth proportional to 771.87, 1,065.69 and 477.57 is: 659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.87 : 1,065.69 = 477.57 : x
  2. Step 2: Convert to fraction form
    771.87/1,065.69 = 477.57/x
  3. Step 3: Cross multiply
    771.87x = 1,065.69 × 477.57
  4. Step 4: Simplify right side
    771.87x = 508,941.57
  5. Step 5: Solve for x
    x = 508,941.57/771.87
  6. Step 6: Final answer
    x = 659.36

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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.