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Finding the Fourth Proportional to 771.61, 1,065.24 and 519.91

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Solution

The fourth proportional to 771.61, 1,065.24 and 519.91 is: 717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.61 : 1,065.24 = 519.91 : x
  2. Step 2: Convert to fraction form
    771.61/1,065.24 = 519.91/x
  3. Step 3: Cross multiply
    771.61x = 1,065.24 × 519.91
  4. Step 4: Simplify right side
    771.61x = 553,828.93
  5. Step 5: Solve for x
    x = 553,828.93/771.61
  6. Step 6: Final answer
    x = 717.76

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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.