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Finding the Fourth Proportional to 1,117.26, 1,675.82 and 337.22

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Solution

The fourth proportional to 1,117.26, 1,675.82 and 337.22 is: 505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.26 : 1,675.82 = 337.22 : x
  2. Step 2: Convert to fraction form
    1,117.26/1,675.82 = 337.22/x
  3. Step 3: Cross multiply
    1,117.26x = 1,675.82 × 337.22
  4. Step 4: Simplify right side
    1,117.26x = 565,120.02
  5. Step 5: Solve for x
    x = 565,120.02/1,117.26
  6. Step 6: Final answer
    x = 505.81

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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.