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Finding the Fourth Proportional to 784.02, 1,081.97 and 518.69

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Solution

The fourth proportional to 784.02, 1,081.97 and 518.69 is: 715.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,081.97 = 518.69 : x
  2. Step 2: Convert to fraction form
    784.02/1,081.97 = 518.69/x
  3. Step 3: Cross multiply
    784.02x = 1,081.97 × 518.69
  4. Step 4: Simplify right side
    784.02x = 561,207.02
  5. Step 5: Solve for x
    x = 561,207.02/784.02
  6. Step 6: Final answer
    x = 715.81

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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.