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Finding the Fourth Proportional to 1,049.84, 1,448.84 and 584.16

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Solution

The fourth proportional to 1,049.84, 1,448.84 and 584.16 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.84 : 1,448.84 = 584.16 : x
  2. Step 2: Convert to fraction form
    1,049.84/1,448.84 = 584.16/x
  3. Step 3: Cross multiply
    1,049.84x = 1,448.84 × 584.16
  4. Step 4: Simplify right side
    1,049.84x = 846,354.37
  5. Step 5: Solve for x
    x = 846,354.37/1,049.84
  6. Step 6: Final answer
    x = 806.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.