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Finding the Fourth Proportional to 1,298.40, 1,946.22 and 604.26

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Solution

The fourth proportional to 1,298.40, 1,946.22 and 604.26 is: 905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.40 : 1,946.22 = 604.26 : x
  2. Step 2: Convert to fraction form
    1,298.40/1,946.22 = 604.26/x
  3. Step 3: Cross multiply
    1,298.40x = 1,946.22 × 604.26
  4. Step 4: Simplify right side
    1,298.40x = 1,176,022.90
  5. Step 5: Solve for x
    x = 1,176,022.90/1,298.40
  6. Step 6: Final answer
    x = 905.75

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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.