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Finding the Fourth Proportional to 1,298.39, 1,947.26 and 604.40

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Solution

The fourth proportional to 1,298.39, 1,947.26 and 604.40 is: 906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.39 : 1,947.26 = 604.40 : x
  2. Step 2: Convert to fraction form
    1,298.39/1,947.26 = 604.40/x
  3. Step 3: Cross multiply
    1,298.39x = 1,947.26 × 604.40
  4. Step 4: Simplify right side
    1,298.39x = 1,176,911.19
  5. Step 5: Solve for x
    x = 1,176,911.19/1,298.39
  6. Step 6: Final answer
    x = 906.44

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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.