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Finding the Fourth Proportional to 705.84, 1,058.97 and 340.53

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Solution

The fourth proportional to 705.84, 1,058.97 and 340.53 is: 510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 1,058.97 = 340.53 : x
  2. Step 2: Convert to fraction form
    705.84/1,058.97 = 340.53/x
  3. Step 3: Cross multiply
    705.84x = 1,058.97 × 340.53
  4. Step 4: Simplify right side
    705.84x = 360,611.05
  5. Step 5: Solve for x
    x = 360,611.05/705.84
  6. Step 6: Final answer
    x = 510.90

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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.