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Finding the Fourth Proportional to 782.82, 1,080.54 and 451.47

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Solution

The fourth proportional to 782.82, 1,080.54 and 451.47 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.82 : 1,080.54 = 451.47 : x
  2. Step 2: Convert to fraction form
    782.82/1,080.54 = 451.47/x
  3. Step 3: Cross multiply
    782.82x = 1,080.54 × 451.47
  4. Step 4: Simplify right side
    782.82x = 487,831.39
  5. Step 5: Solve for x
    x = 487,831.39/782.82
  6. Step 6: Final answer
    x = 623.17

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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.