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Finding the Fourth Proportional to 819.90, 1,130.13 and 713.29

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Solution

The fourth proportional to 819.90, 1,130.13 and 713.29 is: 983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.90 : 1,130.13 = 713.29 : x
  2. Step 2: Convert to fraction form
    819.90/1,130.13 = 713.29/x
  3. Step 3: Cross multiply
    819.90x = 1,130.13 × 713.29
  4. Step 4: Simplify right side
    819.90x = 806,104.78
  5. Step 5: Solve for x
    x = 806,104.78/819.90
  6. Step 6: Final answer
    x = 983.17

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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.