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Finding the Fourth Proportional to 744.90, 1,118.25 and 349.96

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Solution

The fourth proportional to 744.90, 1,118.25 and 349.96 is: 525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.90 : 1,118.25 = 349.96 : x
  2. Step 2: Convert to fraction form
    744.90/1,118.25 = 349.96/x
  3. Step 3: Cross multiply
    744.90x = 1,118.25 × 349.96
  4. Step 4: Simplify right side
    744.90x = 391,342.77
  5. Step 5: Solve for x
    x = 391,342.77/744.90
  6. Step 6: Final answer
    x = 525.36

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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.