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Finding the Fourth Proportional to 782.86, 1,080.34 and 451.39

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Solution

The fourth proportional to 782.86, 1,080.34 and 451.39 is: 622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.86 : 1,080.34 = 451.39 : x
  2. Step 2: Convert to fraction form
    782.86/1,080.34 = 451.39/x
  3. Step 3: Cross multiply
    782.86x = 1,080.34 × 451.39
  4. Step 4: Simplify right side
    782.86x = 487,647.01
  5. Step 5: Solve for x
    x = 487,647.01/782.86
  6. Step 6: Final answer
    x = 622.91

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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.