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Finding the Fourth Proportional to 912.83, 1,259.75 and 519.86

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Solution

The fourth proportional to 912.83, 1,259.75 and 519.86 is: 717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.83 : 1,259.75 = 519.86 : x
  2. Step 2: Convert to fraction form
    912.83/1,259.75 = 519.86/x
  3. Step 3: Cross multiply
    912.83x = 1,259.75 × 519.86
  4. Step 4: Simplify right side
    912.83x = 654,898.08
  5. Step 5: Solve for x
    x = 654,898.08/912.83
  6. Step 6: Final answer
    x = 717.44

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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.