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Finding the Fourth Proportional to 1,180.70, 1,770.90 and 315.08

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Solution

The fourth proportional to 1,180.70, 1,770.90 and 315.08 is: 472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.70 : 1,770.90 = 315.08 : x
  2. Step 2: Convert to fraction form
    1,180.70/1,770.90 = 315.08/x
  3. Step 3: Cross multiply
    1,180.70x = 1,770.90 × 315.08
  4. Step 4: Simplify right side
    1,180.70x = 557,966.32
  5. Step 5: Solve for x
    x = 557,966.32/1,180.70
  6. Step 6: Final answer
    x = 472.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.