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Finding the Fourth Proportional to 1,102.34, 1,653.31 and 361.93

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Solution

The fourth proportional to 1,102.34, 1,653.31 and 361.93 is: 542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.34 : 1,653.31 = 361.93 : x
  2. Step 2: Convert to fraction form
    1,102.34/1,653.31 = 361.93/x
  3. Step 3: Cross multiply
    1,102.34x = 1,653.31 × 361.93
  4. Step 4: Simplify right side
    1,102.34x = 598,382.49
  5. Step 5: Solve for x
    x = 598,382.49/1,102.34
  6. Step 6: Final answer
    x = 542.83

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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.