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Finding the Fourth Proportional to 736.00, 1,101.59 and 540.95

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Solution

The fourth proportional to 736.00, 1,101.59 and 540.95 is: 809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.00 : 1,101.59 = 540.95 : x
  2. Step 2: Convert to fraction form
    736.00/1,101.59 = 540.95/x
  3. Step 3: Cross multiply
    736.00x = 1,101.59 × 540.95
  4. Step 4: Simplify right side
    736.00x = 595,902.76
  5. Step 5: Solve for x
    x = 595,902.76/736.00
  6. Step 6: Final answer
    x = 809.65

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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.