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Finding the Fourth Proportional to 1,105.61, 1,658.43 and 376.02

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Solution

The fourth proportional to 1,105.61, 1,658.43 and 376.02 is: 564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.61 : 1,658.43 = 376.02 : x
  2. Step 2: Convert to fraction form
    1,105.61/1,658.43 = 376.02/x
  3. Step 3: Cross multiply
    1,105.61x = 1,658.43 × 376.02
  4. Step 4: Simplify right side
    1,105.61x = 623,602.85
  5. Step 5: Solve for x
    x = 623,602.85/1,105.61
  6. Step 6: Final answer
    x = 564.04

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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.