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Finding the Fourth Proportional to 912.54, 1,259.22 and 519.55

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Solution

The fourth proportional to 912.54, 1,259.22 and 519.55 is: 716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.54 : 1,259.22 = 519.55 : x
  2. Step 2: Convert to fraction form
    912.54/1,259.22 = 519.55/x
  3. Step 3: Cross multiply
    912.54x = 1,259.22 × 519.55
  4. Step 4: Simplify right side
    912.54x = 654,227.75
  5. Step 5: Solve for x
    x = 654,227.75/912.54
  6. Step 6: Final answer
    x = 716.93

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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.