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Finding the Fourth Proportional to 967.48, 1,450.81 and 705.85

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Solution

The fourth proportional to 967.48, 1,450.81 and 705.85 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.48 : 1,450.81 = 705.85 : x
  2. Step 2: Convert to fraction form
    967.48/1,450.81 = 705.85/x
  3. Step 3: Cross multiply
    967.48x = 1,450.81 × 705.85
  4. Step 4: Simplify right side
    967.48x = 1,024,054.24
  5. Step 5: Solve for x
    x = 1,024,054.24/967.48
  6. Step 6: Final answer
    x = 1,058.48

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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.