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Finding the Fourth Proportional to 1,363.74, 2,045.66 and 389.81

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Solution

The fourth proportional to 1,363.74, 2,045.66 and 389.81 is: 584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.74 : 2,045.66 = 389.81 : x
  2. Step 2: Convert to fraction form
    1,363.74/2,045.66 = 389.81/x
  3. Step 3: Cross multiply
    1,363.74x = 2,045.66 × 389.81
  4. Step 4: Simplify right side
    1,363.74x = 797,421.89
  5. Step 5: Solve for x
    x = 797,421.89/1,363.74
  6. Step 6: Final answer
    x = 584.73

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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.