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Finding the Fourth Proportional to 1,319.03, 1,977.17 and 440.87

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Solution

The fourth proportional to 1,319.03, 1,977.17 and 440.87 is: 660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.03 : 1,977.17 = 440.87 : x
  2. Step 2: Convert to fraction form
    1,319.03/1,977.17 = 440.87/x
  3. Step 3: Cross multiply
    1,319.03x = 1,977.17 × 440.87
  4. Step 4: Simplify right side
    1,319.03x = 871,669.65
  5. Step 5: Solve for x
    x = 871,669.65/1,319.03
  6. Step 6: Final answer
    x = 660.84

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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.