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Finding the Fourth Proportional to 1,797.93, 2,697.08 and 499.40

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Solution

The fourth proportional to 1,797.93, 2,697.08 and 499.40 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.93 : 2,697.08 = 499.40 : x
  2. Step 2: Convert to fraction form
    1,797.93/2,697.08 = 499.40/x
  3. Step 3: Cross multiply
    1,797.93x = 2,697.08 × 499.40
  4. Step 4: Simplify right side
    1,797.93x = 1,346,921.75
  5. Step 5: Solve for x
    x = 1,346,921.75/1,797.93
  6. Step 6: Final answer
    x = 749.15

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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.