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Finding the Fourth Proportional to 866.15, 1,297.53 and 519.77

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Solution

The fourth proportional to 866.15, 1,297.53 and 519.77 is: 778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.15 : 1,297.53 = 519.77 : x
  2. Step 2: Convert to fraction form
    866.15/1,297.53 = 519.77/x
  3. Step 3: Cross multiply
    866.15x = 1,297.53 × 519.77
  4. Step 4: Simplify right side
    866.15x = 674,417.17
  5. Step 5: Solve for x
    x = 674,417.17/866.15
  6. Step 6: Final answer
    x = 778.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.