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Finding the Fourth Proportional to 1,180.69, 1,770.90 and 315.07

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Solution

The fourth proportional to 1,180.69, 1,770.90 and 315.07 is: 472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.69 : 1,770.90 = 315.07 : x
  2. Step 2: Convert to fraction form
    1,180.69/1,770.90 = 315.07/x
  3. Step 3: Cross multiply
    1,180.69x = 1,770.90 × 315.07
  4. Step 4: Simplify right side
    1,180.69x = 557,957.46
  5. Step 5: Solve for x
    x = 557,957.46/1,180.69
  6. Step 6: Final answer
    x = 472.57

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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.