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Finding the Fourth Proportional to 771.86, 1,065.16 and 417.78

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Solution

The fourth proportional to 771.86, 1,065.16 and 417.78 is: 576.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,065.16 = 417.78 : x
  2. Step 2: Convert to fraction form
    771.86/1,065.16 = 417.78/x
  3. Step 3: Cross multiply
    771.86x = 1,065.16 × 417.78
  4. Step 4: Simplify right side
    771.86x = 445,001.50
  5. Step 5: Solve for x
    x = 445,001.50/771.86
  6. Step 6: Final answer
    x = 576.53

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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.