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Finding the Fourth Proportional to 1,797.64, 2,696.40 and 499.12

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Solution

The fourth proportional to 1,797.64, 2,696.40 and 499.12 is: 748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.64 : 2,696.40 = 499.12 : x
  2. Step 2: Convert to fraction form
    1,797.64/2,696.40 = 499.12/x
  3. Step 3: Cross multiply
    1,797.64x = 2,696.40 × 499.12
  4. Step 4: Simplify right side
    1,797.64x = 1,345,827.17
  5. Step 5: Solve for x
    x = 1,345,827.17/1,797.64
  6. Step 6: Final answer
    x = 748.66

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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.