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Finding the Fourth Proportional to 1,160.46, 1,741.59 and 612.81

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Solution

The fourth proportional to 1,160.46, 1,741.59 and 612.81 is: 919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.46 : 1,741.59 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,160.46/1,741.59 = 612.81/x
  3. Step 3: Cross multiply
    1,160.46x = 1,741.59 × 612.81
  4. Step 4: Simplify right side
    1,160.46x = 1,067,263.77
  5. Step 5: Solve for x
    x = 1,067,263.77/1,160.46
  6. Step 6: Final answer
    x = 919.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.