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Finding the Fourth Proportional to 1,364.61, 2,046.89 and 338.61

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Solution

The fourth proportional to 1,364.61, 2,046.89 and 338.61 is: 507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.61 : 2,046.89 = 338.61 : x
  2. Step 2: Convert to fraction form
    1,364.61/2,046.89 = 338.61/x
  3. Step 3: Cross multiply
    1,364.61x = 2,046.89 × 338.61
  4. Step 4: Simplify right side
    1,364.61x = 693,085.50
  5. Step 5: Solve for x
    x = 693,085.50/1,364.61
  6. Step 6: Final answer
    x = 507.90

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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.