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Finding the Fourth Proportional to 1,407.31, 1,942.83 and 910.23

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Solution

The fourth proportional to 1,407.31, 1,942.83 and 910.23 is: 1,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.31 : 1,942.83 = 910.23 : x
  2. Step 2: Convert to fraction form
    1,407.31/1,942.83 = 910.23/x
  3. Step 3: Cross multiply
    1,407.31x = 1,942.83 × 910.23
  4. Step 4: Simplify right side
    1,407.31x = 1,768,422.15
  5. Step 5: Solve for x
    x = 1,768,422.15/1,407.31
  6. Step 6: Final answer
    x = 1,256.60

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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.