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Finding the Fourth Proportional to 1,065.85, 1,598.49 and 449.56

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Solution

The fourth proportional to 1,065.85, 1,598.49 and 449.56 is: 674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.85 : 1,598.49 = 449.56 : x
  2. Step 2: Convert to fraction form
    1,065.85/1,598.49 = 449.56/x
  3. Step 3: Cross multiply
    1,065.85x = 1,598.49 × 449.56
  4. Step 4: Simplify right side
    1,065.85x = 718,617.16
  5. Step 5: Solve for x
    x = 718,617.16/1,065.85
  6. Step 6: Final answer
    x = 674.22

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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.