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Finding the Fourth Proportional to 1,112.94, 1,670.31 and 464.13

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Solution

The fourth proportional to 1,112.94, 1,670.31 and 464.13 is: 696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.94 : 1,670.31 = 464.13 : x
  2. Step 2: Convert to fraction form
    1,112.94/1,670.31 = 464.13/x
  3. Step 3: Cross multiply
    1,112.94x = 1,670.31 × 464.13
  4. Step 4: Simplify right side
    1,112.94x = 775,240.98
  5. Step 5: Solve for x
    x = 775,240.98/1,112.94
  6. Step 6: Final answer
    x = 696.57

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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.