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Finding the Fourth Proportional to 781.09, 1,078.12 and 486.19

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Solution

The fourth proportional to 781.09, 1,078.12 and 486.19 is: 671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.09 : 1,078.12 = 486.19 : x
  2. Step 2: Convert to fraction form
    781.09/1,078.12 = 486.19/x
  3. Step 3: Cross multiply
    781.09x = 1,078.12 × 486.19
  4. Step 4: Simplify right side
    781.09x = 524,171.16
  5. Step 5: Solve for x
    x = 524,171.16/781.09
  6. Step 6: Final answer
    x = 671.08

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Double scale
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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.