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Finding the Fourth Proportional to 1,180.36, 1,770.54 and 314.68

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Solution

The fourth proportional to 1,180.36, 1,770.54 and 314.68 is: 472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.36 : 1,770.54 = 314.68 : x
  2. Step 2: Convert to fraction form
    1,180.36/1,770.54 = 314.68/x
  3. Step 3: Cross multiply
    1,180.36x = 1,770.54 × 314.68
  4. Step 4: Simplify right side
    1,180.36x = 557,153.53
  5. Step 5: Solve for x
    x = 557,153.53/1,180.36
  6. Step 6: Final answer
    x = 472.02

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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.