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Finding the Fourth Proportional to 1,797.70, 2,696.59 and 499.16

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Solution

The fourth proportional to 1,797.70, 2,696.59 and 499.16 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.70 : 2,696.59 = 499.16 : x
  2. Step 2: Convert to fraction form
    1,797.70/2,696.59 = 499.16/x
  3. Step 3: Cross multiply
    1,797.70x = 2,696.59 × 499.16
  4. Step 4: Simplify right side
    1,797.70x = 1,346,029.86
  5. Step 5: Solve for x
    x = 1,346,029.86/1,797.70
  6. Step 6: Final answer
    x = 748.75

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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.