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Finding the Fourth Proportional to 705.84, 1,058.64 and 192.84

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Solution

The fourth proportional to 705.84, 1,058.64 and 192.84 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,058.64 = 192.84 : x
  2. Step 2: Convert to fraction form
    705.84/1,058.64 = 192.84/x
  3. Step 3: Cross multiply
    705.84x = 1,058.64 × 192.84
  4. Step 4: Simplify right side
    705.84x = 204,148.14
  5. Step 5: Solve for x
    x = 204,148.14/705.84
  6. Step 6: Final answer
    x = 289.23

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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.