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Finding the Fourth Proportional to 912.46, 1,259.13 and 519.41

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Solution

The fourth proportional to 912.46, 1,259.13 and 519.41 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.46 : 1,259.13 = 519.41 : x
  2. Step 2: Convert to fraction form
    912.46/1,259.13 = 519.41/x
  3. Step 3: Cross multiply
    912.46x = 1,259.13 × 519.41
  4. Step 4: Simplify right side
    912.46x = 653,995.82
  5. Step 5: Solve for x
    x = 653,995.82/912.46
  6. Step 6: Final answer
    x = 716.74

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1.5x scale

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.