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Finding the Fourth Proportional to 782.43, 1,079.75 and 428.36

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Solution

The fourth proportional to 782.43, 1,079.75 and 428.36 is: 591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.43 : 1,079.75 = 428.36 : x
  2. Step 2: Convert to fraction form
    782.43/1,079.75 = 428.36/x
  3. Step 3: Cross multiply
    782.43x = 1,079.75 × 428.36
  4. Step 4: Simplify right side
    782.43x = 462,518.01
  5. Step 5: Solve for x
    x = 462,518.01/782.43
  6. Step 6: Final answer
    x = 591.13

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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.