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Finding the Fourth Proportional to 705.90, 1,058.75 and 511.25

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Solution

The fourth proportional to 705.90, 1,058.75 and 511.25 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.90 : 1,058.75 = 511.25 : x
  2. Step 2: Convert to fraction form
    705.90/1,058.75 = 511.25/x
  3. Step 3: Cross multiply
    705.90x = 1,058.75 × 511.25
  4. Step 4: Simplify right side
    705.90x = 541,285.94
  5. Step 5: Solve for x
    x = 541,285.94/705.90
  6. Step 6: Final answer
    x = 766.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.