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Finding the Fourth Proportional to 1,649.64, 2,474.08 and 772.75

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Solution

The fourth proportional to 1,649.64, 2,474.08 and 772.75 is: 1,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.64 : 2,474.08 = 772.75 : x
  2. Step 2: Convert to fraction form
    1,649.64/2,474.08 = 772.75/x
  3. Step 3: Cross multiply
    1,649.64x = 2,474.08 × 772.75
  4. Step 4: Simplify right side
    1,649.64x = 1,911,845.32
  5. Step 5: Solve for x
    x = 1,911,845.32/1,649.64
  6. Step 6: Final answer
    x = 1,158.95

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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.