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Finding the Fourth Proportional to 912.51, 1,259.10 and 519.57

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Solution

The fourth proportional to 912.51, 1,259.10 and 519.57 is: 716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.51 : 1,259.10 = 519.57 : x
  2. Step 2: Convert to fraction form
    912.51/1,259.10 = 519.57/x
  3. Step 3: Cross multiply
    912.51x = 1,259.10 × 519.57
  4. Step 4: Simplify right side
    912.51x = 654,190.59
  5. Step 5: Solve for x
    x = 654,190.59/912.51
  6. Step 6: Final answer
    x = 716.91

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Double scale
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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.