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Finding the Fourth Proportional to 1,364.83, 2,047.38 and 440.16

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Solution

The fourth proportional to 1,364.83, 2,047.38 and 440.16 is: 660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.83 : 2,047.38 = 440.16 : x
  2. Step 2: Convert to fraction form
    1,364.83/2,047.38 = 440.16/x
  3. Step 3: Cross multiply
    1,364.83x = 2,047.38 × 440.16
  4. Step 4: Simplify right side
    1,364.83x = 901,174.78
  5. Step 5: Solve for x
    x = 901,174.78/1,364.83
  6. Step 6: Final answer
    x = 660.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.