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Finding the Fourth Proportional to 1,102.15, 1,653.41 and 371.56

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Solution

The fourth proportional to 1,102.15, 1,653.41 and 371.56 is: 557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.15 : 1,653.41 = 371.56 : x
  2. Step 2: Convert to fraction form
    1,102.15/1,653.41 = 371.56/x
  3. Step 3: Cross multiply
    1,102.15x = 1,653.41 × 371.56
  4. Step 4: Simplify right side
    1,102.15x = 614,341.02
  5. Step 5: Solve for x
    x = 614,341.02/1,102.15
  6. Step 6: Final answer
    x = 557.40

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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.