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Finding the Fourth Proportional to 819.07, 1,130.50 and 504.61

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Solution

The fourth proportional to 819.07, 1,130.50 and 504.61 is: 696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.07 : 1,130.50 = 504.61 : x
  2. Step 2: Convert to fraction form
    819.07/1,130.50 = 504.61/x
  3. Step 3: Cross multiply
    819.07x = 1,130.50 × 504.61
  4. Step 4: Simplify right side
    819.07x = 570,461.61
  5. Step 5: Solve for x
    x = 570,461.61/819.07
  6. Step 6: Final answer
    x = 696.47

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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.