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Finding the Fourth Proportional to 1,363.66, 2,045.59 and 486.34

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Solution

The fourth proportional to 1,363.66, 2,045.59 and 486.34 is: 729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.66 : 2,045.59 = 486.34 : x
  2. Step 2: Convert to fraction form
    1,363.66/2,045.59 = 486.34/x
  3. Step 3: Cross multiply
    1,363.66x = 2,045.59 × 486.34
  4. Step 4: Simplify right side
    1,363.66x = 994,845.91
  5. Step 5: Solve for x
    x = 994,845.91/1,363.66
  6. Step 6: Final answer
    x = 729.54

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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.