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Finding the Fourth Proportional to 1,158.63, 1,589.39 and 1,095.86

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Solution

The fourth proportional to 1,158.63, 1,589.39 and 1,095.86 is: 1,503.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.63 : 1,589.39 = 1,095.86 : x
  2. Step 2: Convert to fraction form
    1,158.63/1,589.39 = 1,095.86/x
  3. Step 3: Cross multiply
    1,158.63x = 1,589.39 × 1,095.86
  4. Step 4: Simplify right side
    1,158.63x = 1,741,746.19
  5. Step 5: Solve for x
    x = 1,741,746.19/1,158.63
  6. Step 6: Final answer
    x = 1,503.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.