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Finding the Fourth Proportional to 1,557.73, 2,333.25 and 734.77

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Solution

The fourth proportional to 1,557.73, 2,333.25 and 734.77 is: 1,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.73 : 2,333.25 = 734.77 : x
  2. Step 2: Convert to fraction form
    1,557.73/2,333.25 = 734.77/x
  3. Step 3: Cross multiply
    1,557.73x = 2,333.25 × 734.77
  4. Step 4: Simplify right side
    1,557.73x = 1,714,398.43
  5. Step 5: Solve for x
    x = 1,714,398.43/1,557.73
  6. Step 6: Final answer
    x = 1,100.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.