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Finding the Fourth Proportional to 1,049.80, 1,448.62 and 584

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Solution

The fourth proportional to 1,049.80, 1,448.62 and 584 is: 805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.80 : 1,448.62 = 584 : x
  2. Step 2: Convert to fraction form
    1,049.80/1,448.62 = 584/x
  3. Step 3: Cross multiply
    1,049.80x = 1,448.62 × 584
  4. Step 4: Simplify right side
    1,049.80x = 845,994.08
  5. Step 5: Solve for x
    x = 845,994.08/1,049.80
  6. Step 6: Final answer
    x = 805.86

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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.