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Finding the Fourth Proportional to 784.68, 1,082.38 and 519.13

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Solution

The fourth proportional to 784.68, 1,082.38 and 519.13 is: 716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.68 : 1,082.38 = 519.13 : x
  2. Step 2: Convert to fraction form
    784.68/1,082.38 = 519.13/x
  3. Step 3: Cross multiply
    784.68x = 1,082.38 × 519.13
  4. Step 4: Simplify right side
    784.68x = 561,895.93
  5. Step 5: Solve for x
    x = 561,895.93/784.68
  6. Step 6: Final answer
    x = 716.08

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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.