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Finding the Fourth Proportional to 1,298.47, 1,945.11 and 604.20

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Solution

The fourth proportional to 1,298.47, 1,945.11 and 604.20 is: 905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.47 : 1,945.11 = 604.20 : x
  2. Step 2: Convert to fraction form
    1,298.47/1,945.11 = 604.20/x
  3. Step 3: Cross multiply
    1,298.47x = 1,945.11 × 604.20
  4. Step 4: Simplify right side
    1,298.47x = 1,175,235.46
  5. Step 5: Solve for x
    x = 1,175,235.46/1,298.47
  6. Step 6: Final answer
    x = 905.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.