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Finding the Fourth Proportional to 912.74, 1,259.51 and 519.77

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Solution

The fourth proportional to 912.74, 1,259.51 and 519.77 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,259.51 = 519.77 : x
  2. Step 2: Convert to fraction form
    912.74/1,259.51 = 519.77/x
  3. Step 3: Cross multiply
    912.74x = 1,259.51 × 519.77
  4. Step 4: Simplify right side
    912.74x = 654,655.51
  5. Step 5: Solve for x
    x = 654,655.51/912.74
  6. Step 6: Final answer
    x = 717.24

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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.