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Finding the Fourth Proportional to 1,138.86, 1,570.59 and 746.01

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Solution

The fourth proportional to 1,138.86, 1,570.59 and 746.01 is: 1,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.86 : 1,570.59 = 746.01 : x
  2. Step 2: Convert to fraction form
    1,138.86/1,570.59 = 746.01/x
  3. Step 3: Cross multiply
    1,138.86x = 1,570.59 × 746.01
  4. Step 4: Simplify right side
    1,138.86x = 1,171,675.85
  5. Step 5: Solve for x
    x = 1,171,675.85/1,138.86
  6. Step 6: Final answer
    x = 1,028.81

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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.