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Finding the Fourth Proportional to 730.83, 1,096.77 and 499.95

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Solution

The fourth proportional to 730.83, 1,096.77 and 499.95 is: 750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.83 : 1,096.77 = 499.95 : x
  2. Step 2: Convert to fraction form
    730.83/1,096.77 = 499.95/x
  3. Step 3: Cross multiply
    730.83x = 1,096.77 × 499.95
  4. Step 4: Simplify right side
    730.83x = 548,332.04
  5. Step 5: Solve for x
    x = 548,332.04/730.83
  6. Step 6: Final answer
    x = 750.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.