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Finding the Fourth Proportional to 1,119.26, 1,678.62 and 349.76

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Solution

The fourth proportional to 1,119.26, 1,678.62 and 349.76 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.26 : 1,678.62 = 349.76 : x
  2. Step 2: Convert to fraction form
    1,119.26/1,678.62 = 349.76/x
  3. Step 3: Cross multiply
    1,119.26x = 1,678.62 × 349.76
  4. Step 4: Simplify right side
    1,119.26x = 587,114.13
  5. Step 5: Solve for x
    x = 587,114.13/1,119.26
  6. Step 6: Final answer
    x = 524.56

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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.