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Finding the Fourth Proportional to 705.80, 1,058.94 and 585.14

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Solution

The fourth proportional to 705.80, 1,058.94 and 585.14 is: 877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 1,058.94 = 585.14 : x
  2. Step 2: Convert to fraction form
    705.80/1,058.94 = 585.14/x
  3. Step 3: Cross multiply
    705.80x = 1,058.94 × 585.14
  4. Step 4: Simplify right side
    705.80x = 619,628.15
  5. Step 5: Solve for x
    x = 619,628.15/705.80
  6. Step 6: Final answer
    x = 877.91

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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.