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Finding the Fourth Proportional to 781.82, 1,078.91 and 450.25

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Solution

The fourth proportional to 781.82, 1,078.91 and 450.25 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.82 : 1,078.91 = 450.25 : x
  2. Step 2: Convert to fraction form
    781.82/1,078.91 = 450.25/x
  3. Step 3: Cross multiply
    781.82x = 1,078.91 × 450.25
  4. Step 4: Simplify right side
    781.82x = 485,779.23
  5. Step 5: Solve for x
    x = 485,779.23/781.82
  6. Step 6: Final answer
    x = 621.34

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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.