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Finding the Fourth Proportional to 1,306.89, 1,805.24 and 974.74

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Solution

The fourth proportional to 1,306.89, 1,805.24 and 974.74 is: 1,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.89 : 1,805.24 = 974.74 : x
  2. Step 2: Convert to fraction form
    1,306.89/1,805.24 = 974.74/x
  3. Step 3: Cross multiply
    1,306.89x = 1,805.24 × 974.74
  4. Step 4: Simplify right side
    1,306.89x = 1,759,639.64
  5. Step 5: Solve for x
    x = 1,759,639.64/1,306.89
  6. Step 6: Final answer
    x = 1,346.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.