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Finding the Fourth Proportional to 1,364.63, 2,047.07 and 439.97

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Solution

The fourth proportional to 1,364.63, 2,047.07 and 439.97 is: 660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.63 : 2,047.07 = 439.97 : x
  2. Step 2: Convert to fraction form
    1,364.63/2,047.07 = 439.97/x
  3. Step 3: Cross multiply
    1,364.63x = 2,047.07 × 439.97
  4. Step 4: Simplify right side
    1,364.63x = 900,649.39
  5. Step 5: Solve for x
    x = 900,649.39/1,364.63
  6. Step 6: Final answer
    x = 660.00

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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.