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Finding the Fourth Proportional to 1,256.40, 1,734.01 and 1,046.27

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Solution

The fourth proportional to 1,256.40, 1,734.01 and 1,046.27 is: 1,444.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.40 : 1,734.01 = 1,046.27 : x
  2. Step 2: Convert to fraction form
    1,256.40/1,734.01 = 1,046.27/x
  3. Step 3: Cross multiply
    1,256.40x = 1,734.01 × 1,046.27
  4. Step 4: Simplify right side
    1,256.40x = 1,814,244.36
  5. Step 5: Solve for x
    x = 1,814,244.36/1,256.40
  6. Step 6: Final answer
    x = 1,444.00

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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.