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Finding the Fourth Proportional to 1,576.41, 2,364.24 and 698.43

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Solution

The fourth proportional to 1,576.41, 2,364.24 and 698.43 is: 1,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.41 : 2,364.24 = 698.43 : x
  2. Step 2: Convert to fraction form
    1,576.41/2,364.24 = 698.43/x
  3. Step 3: Cross multiply
    1,576.41x = 2,364.24 × 698.43
  4. Step 4: Simplify right side
    1,576.41x = 1,651,256.14
  5. Step 5: Solve for x
    x = 1,651,256.14/1,576.41
  6. Step 6: Final answer
    x = 1,047.48

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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.