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Finding the Fourth Proportional to 1,045.31, 1,441.46 and 671.96

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Solution

The fourth proportional to 1,045.31, 1,441.46 and 671.96 is: 926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.31 : 1,441.46 = 671.96 : x
  2. Step 2: Convert to fraction form
    1,045.31/1,441.46 = 671.96/x
  3. Step 3: Cross multiply
    1,045.31x = 1,441.46 × 671.96
  4. Step 4: Simplify right side
    1,045.31x = 968,608.75
  5. Step 5: Solve for x
    x = 968,608.75/1,045.31
  6. Step 6: Final answer
    x = 926.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.