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Finding the Fourth Proportional to 705.76, 1,058.69 and 185.77

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Solution

The fourth proportional to 705.76, 1,058.69 and 185.77 is: 278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.76 : 1,058.69 = 185.77 : x
  2. Step 2: Convert to fraction form
    705.76/1,058.69 = 185.77/x
  3. Step 3: Cross multiply
    705.76x = 1,058.69 × 185.77
  4. Step 4: Simplify right side
    705.76x = 196,673.24
  5. Step 5: Solve for x
    x = 196,673.24/705.76
  6. Step 6: Final answer
    x = 278.67

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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.