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Finding the Fourth Proportional to 1,151.84, 1,728.62 and 449.16

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Solution

The fourth proportional to 1,151.84, 1,728.62 and 449.16 is: 674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.84 : 1,728.62 = 449.16 : x
  2. Step 2: Convert to fraction form
    1,151.84/1,728.62 = 449.16/x
  3. Step 3: Cross multiply
    1,151.84x = 1,728.62 × 449.16
  4. Step 4: Simplify right side
    1,151.84x = 776,426.96
  5. Step 5: Solve for x
    x = 776,426.96/1,151.84
  6. Step 6: Final answer
    x = 674.08

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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.