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Finding the Fourth Proportional to 1,269.20, 1,904.15 and 436.44

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Solution

The fourth proportional to 1,269.20, 1,904.15 and 436.44 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.20 : 1,904.15 = 436.44 : x
  2. Step 2: Convert to fraction form
    1,269.20/1,904.15 = 436.44/x
  3. Step 3: Cross multiply
    1,269.20x = 1,904.15 × 436.44
  4. Step 4: Simplify right side
    1,269.20x = 831,055.46
  5. Step 5: Solve for x
    x = 831,055.46/1,269.20
  6. Step 6: Final answer
    x = 654.79

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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.