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Finding the Fourth Proportional to 1,306.74, 1,800.24 and 974.54

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Solution

The fourth proportional to 1,306.74, 1,800.24 and 974.54 is: 1,342.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.74 : 1,800.24 = 974.54 : x
  2. Step 2: Convert to fraction form
    1,306.74/1,800.24 = 974.54/x
  3. Step 3: Cross multiply
    1,306.74x = 1,800.24 × 974.54
  4. Step 4: Simplify right side
    1,306.74x = 1,754,405.89
  5. Step 5: Solve for x
    x = 1,754,405.89/1,306.74
  6. Step 6: Final answer
    x = 1,342.58

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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.