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Finding the Fourth Proportional to 1,335.51, 1,842.78 and 746.05

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Solution

The fourth proportional to 1,335.51, 1,842.78 and 746.05 is: 1,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.51 : 1,842.78 = 746.05 : x
  2. Step 2: Convert to fraction form
    1,335.51/1,842.78 = 746.05/x
  3. Step 3: Cross multiply
    1,335.51x = 1,842.78 × 746.05
  4. Step 4: Simplify right side
    1,335.51x = 1,374,801.41
  5. Step 5: Solve for x
    x = 1,374,801.41/1,335.51
  6. Step 6: Final answer
    x = 1,029.42

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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.