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Finding the Fourth Proportional to 1,397.52, 2,096.16 and 371.52

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Solution

The fourth proportional to 1,397.52, 2,096.16 and 371.52 is: 557.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.52 : 2,096.16 = 371.52 : x
  2. Step 2: Convert to fraction form
    1,397.52/2,096.16 = 371.52/x
  3. Step 3: Cross multiply
    1,397.52x = 2,096.16 × 371.52
  4. Step 4: Simplify right side
    1,397.52x = 778,765.36
  5. Step 5: Solve for x
    x = 778,765.36/1,397.52
  6. Step 6: Final answer
    x = 557.25

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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.