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Finding the Fourth Proportional to 771.96, 1,065.29 and 417.87

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Solution

The fourth proportional to 771.96, 1,065.29 and 417.87 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.96 : 1,065.29 = 417.87 : x
  2. Step 2: Convert to fraction form
    771.96/1,065.29 = 417.87/x
  3. Step 3: Cross multiply
    771.96x = 1,065.29 × 417.87
  4. Step 4: Simplify right side
    771.96x = 445,150.07
  5. Step 5: Solve for x
    x = 445,150.07/771.96
  6. Step 6: Final answer
    x = 576.65

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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.