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Finding the Fourth Proportional to 1,464.87, 2,196.27 and 684.44

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Solution

The fourth proportional to 1,464.87, 2,196.27 and 684.44 is: 1,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.87 : 2,196.27 = 684.44 : x
  2. Step 2: Convert to fraction form
    1,464.87/2,196.27 = 684.44/x
  3. Step 3: Cross multiply
    1,464.87x = 2,196.27 × 684.44
  4. Step 4: Simplify right side
    1,464.87x = 1,503,204.06
  5. Step 5: Solve for x
    x = 1,503,204.06/1,464.87
  6. Step 6: Final answer
    x = 1,026.17

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1.5x scale

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.