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Finding the Fourth Proportional to 1,464.16, 2,195.70 and 598

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Solution

The fourth proportional to 1,464.16, 2,195.70 and 598 is: 896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.16 : 2,195.70 = 598 : x
  2. Step 2: Convert to fraction form
    1,464.16/2,195.70 = 598/x
  3. Step 3: Cross multiply
    1,464.16x = 2,195.70 × 598
  4. Step 4: Simplify right side
    1,464.16x = 1,313,028.60
  5. Step 5: Solve for x
    x = 1,313,028.60/1,464.16
  6. Step 6: Final answer
    x = 896.78

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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.