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Finding the Fourth Proportional to 1,364.03, 2,046.18 and 584.12

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Solution

The fourth proportional to 1,364.03, 2,046.18 and 584.12 is: 876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.03 : 2,046.18 = 584.12 : x
  2. Step 2: Convert to fraction form
    1,364.03/2,046.18 = 584.12/x
  3. Step 3: Cross multiply
    1,364.03x = 2,046.18 × 584.12
  4. Step 4: Simplify right side
    1,364.03x = 1,195,204.43
  5. Step 5: Solve for x
    x = 1,195,204.43/1,364.03
  6. Step 6: Final answer
    x = 876.23

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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.