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Finding the Fourth Proportional to 1,057.56, 1,460.34 and 743.52

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Solution

The fourth proportional to 1,057.56, 1,460.34 and 743.52 is: 1,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.56 : 1,460.34 = 743.52 : x
  2. Step 2: Convert to fraction form
    1,057.56/1,460.34 = 743.52/x
  3. Step 3: Cross multiply
    1,057.56x = 1,460.34 × 743.52
  4. Step 4: Simplify right side
    1,057.56x = 1,085,792.79
  5. Step 5: Solve for x
    x = 1,085,792.79/1,057.56
  6. Step 6: Final answer
    x = 1,026.69

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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.