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Finding the Fourth Proportional to 1,419.23, 2,129.54 and 639.77

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Solution

The fourth proportional to 1,419.23, 2,129.54 and 639.77 is: 959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.23 : 2,129.54 = 639.77 : x
  2. Step 2: Convert to fraction form
    1,419.23/2,129.54 = 639.77/x
  3. Step 3: Cross multiply
    1,419.23x = 2,129.54 × 639.77
  4. Step 4: Simplify right side
    1,419.23x = 1,362,401.96
  5. Step 5: Solve for x
    x = 1,362,401.96/1,419.23
  6. Step 6: Final answer
    x = 959.96

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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.