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Finding the Fourth Proportional to 1,138.05, 1,706.81 and 772.74

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Solution

The fourth proportional to 1,138.05, 1,706.81 and 772.74 is: 1,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.05 : 1,706.81 = 772.74 : x
  2. Step 2: Convert to fraction form
    1,138.05/1,706.81 = 772.74/x
  3. Step 3: Cross multiply
    1,138.05x = 1,706.81 × 772.74
  4. Step 4: Simplify right side
    1,138.05x = 1,318,916.50
  5. Step 5: Solve for x
    x = 1,318,916.50/1,138.05
  6. Step 6: Final answer
    x = 1,158.93

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Why These Related Problems?

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