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Finding the Fourth Proportional to 705.80, 1,058.70 and 584.20

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Solution

The fourth proportional to 705.80, 1,058.70 and 584.20 is: 876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 1,058.70 = 584.20 : x
  2. Step 2: Convert to fraction form
    705.80/1,058.70 = 584.20/x
  3. Step 3: Cross multiply
    705.80x = 1,058.70 × 584.20
  4. Step 4: Simplify right side
    705.80x = 618,492.54
  5. Step 5: Solve for x
    x = 618,492.54/705.80
  6. Step 6: Final answer
    x = 876.30

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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.