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Finding the Fourth Proportional to 705.47, 1,058.60 and 566.79

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Solution

The fourth proportional to 705.47, 1,058.60 and 566.79 is: 850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.47 : 1,058.60 = 566.79 : x
  2. Step 2: Convert to fraction form
    705.47/1,058.60 = 566.79/x
  3. Step 3: Cross multiply
    705.47x = 1,058.60 × 566.79
  4. Step 4: Simplify right side
    705.47x = 600,001.06
  5. Step 5: Solve for x
    x = 600,001.06/705.47
  6. Step 6: Final answer
    x = 850.50

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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.