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Finding the Fourth Proportional to 1,377.67, 1,901.93 and 1,062.25

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Solution

The fourth proportional to 1,377.67, 1,901.93 and 1,062.25 is: 1,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.67 : 1,901.93 = 1,062.25 : x
  2. Step 2: Convert to fraction form
    1,377.67/1,901.93 = 1,062.25/x
  3. Step 3: Cross multiply
    1,377.67x = 1,901.93 × 1,062.25
  4. Step 4: Simplify right side
    1,377.67x = 2,020,310.32
  5. Step 5: Solve for x
    x = 2,020,310.32/1,377.67
  6. Step 6: Final answer
    x = 1,466.47

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