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Finding the Fourth Proportional to 1,226.54, 1,838.06 and 706.67

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Solution

The fourth proportional to 1,226.54, 1,838.06 and 706.67 is: 1,058.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.54 : 1,838.06 = 706.67 : x
  2. Step 2: Convert to fraction form
    1,226.54/1,838.06 = 706.67/x
  3. Step 3: Cross multiply
    1,226.54x = 1,838.06 × 706.67
  4. Step 4: Simplify right side
    1,226.54x = 1,298,889.14
  5. Step 5: Solve for x
    x = 1,298,889.14/1,226.54
  6. Step 6: Final answer
    x = 1,058.99

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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.