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Finding the Fourth Proportional to 1,145.76, 1,589.01 and 1,074.48

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Solution

The fourth proportional to 1,145.76, 1,589.01 and 1,074.48 is: 1,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.76 : 1,589.01 = 1,074.48 : x
  2. Step 2: Convert to fraction form
    1,145.76/1,589.01 = 1,074.48/x
  3. Step 3: Cross multiply
    1,145.76x = 1,589.01 × 1,074.48
  4. Step 4: Simplify right side
    1,145.76x = 1,707,359.46
  5. Step 5: Solve for x
    x = 1,707,359.46/1,145.76
  6. Step 6: Final answer
    x = 1,490.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.