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Finding the Fourth Proportional to 1,105.26, 1,657.72 and 364.88

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Solution

The fourth proportional to 1,105.26, 1,657.72 and 364.88 is: 547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.26 : 1,657.72 = 364.88 : x
  2. Step 2: Convert to fraction form
    1,105.26/1,657.72 = 364.88/x
  3. Step 3: Cross multiply
    1,105.26x = 1,657.72 × 364.88
  4. Step 4: Simplify right side
    1,105.26x = 604,868.87
  5. Step 5: Solve for x
    x = 604,868.87/1,105.26
  6. Step 6: Final answer
    x = 547.26

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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.