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Finding the Fourth Proportional to 912.64, 1,259.40 and 519.65

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Solution

The fourth proportional to 912.64, 1,259.40 and 519.65 is: 717.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.64 : 1,259.40 = 519.65 : x
  2. Step 2: Convert to fraction form
    912.64/1,259.40 = 519.65/x
  3. Step 3: Cross multiply
    912.64x = 1,259.40 × 519.65
  4. Step 4: Simplify right side
    912.64x = 654,440.91
  5. Step 5: Solve for x
    x = 654,440.91/912.64
  6. Step 6: Final answer
    x = 717.09

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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.