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Finding the Fourth Proportional to 1,462.08, 2,194.17 and 584.08

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Solution

The fourth proportional to 1,462.08, 2,194.17 and 584.08 is: 876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.08 : 2,194.17 = 584.08 : x
  2. Step 2: Convert to fraction form
    1,462.08/2,194.17 = 584.08/x
  3. Step 3: Cross multiply
    1,462.08x = 2,194.17 × 584.08
  4. Step 4: Simplify right side
    1,462.08x = 1,281,566.42
  5. Step 5: Solve for x
    x = 1,281,566.42/1,462.08
  6. Step 6: Final answer
    x = 876.53

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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.