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Finding the Fourth Proportional to 1,049.77, 1,448.66 and 584.01

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Solution

The fourth proportional to 1,049.77, 1,448.66 and 584.01 is: 805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.77 : 1,448.66 = 584.01 : x
  2. Step 2: Convert to fraction form
    1,049.77/1,448.66 = 584.01/x
  3. Step 3: Cross multiply
    1,049.77x = 1,448.66 × 584.01
  4. Step 4: Simplify right side
    1,049.77x = 846,031.93
  5. Step 5: Solve for x
    x = 846,031.93/1,049.77
  6. Step 6: Final answer
    x = 805.92

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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.