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Finding the Fourth Proportional to 1,169.29, 1,751.59 and 705.67

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Solution

The fourth proportional to 1,169.29, 1,751.59 and 705.67 is: 1,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.29 : 1,751.59 = 705.67 : x
  2. Step 2: Convert to fraction form
    1,169.29/1,751.59 = 705.67/x
  3. Step 3: Cross multiply
    1,169.29x = 1,751.59 × 705.67
  4. Step 4: Simplify right side
    1,169.29x = 1,236,044.52
  5. Step 5: Solve for x
    x = 1,236,044.52/1,169.29
  6. Step 6: Final answer
    x = 1,057.09

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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.