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Finding the Fourth Proportional to 1,057.62, 1,458.06 and 1,025.34

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Solution

The fourth proportional to 1,057.62, 1,458.06 and 1,025.34 is: 1,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.62 : 1,458.06 = 1,025.34 : x
  2. Step 2: Convert to fraction form
    1,057.62/1,458.06 = 1,025.34/x
  3. Step 3: Cross multiply
    1,057.62x = 1,458.06 × 1,025.34
  4. Step 4: Simplify right side
    1,057.62x = 1,495,007.24
  5. Step 5: Solve for x
    x = 1,495,007.24/1,057.62
  6. Step 6: Final answer
    x = 1,413.56

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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.