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Finding the Fourth Proportional to 819.81, 1,130.20 and 598.77

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Solution

The fourth proportional to 819.81, 1,130.20 and 598.77 is: 825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.81 : 1,130.20 = 598.77 : x
  2. Step 2: Convert to fraction form
    819.81/1,130.20 = 598.77/x
  3. Step 3: Cross multiply
    819.81x = 1,130.20 × 598.77
  4. Step 4: Simplify right side
    819.81x = 676,729.85
  5. Step 5: Solve for x
    x = 676,729.85/819.81
  6. Step 6: Final answer
    x = 825.47

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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.