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Finding the Fourth Proportional to 706.10, 1,058.88 and 243.75

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Solution

The fourth proportional to 706.10, 1,058.88 and 243.75 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 1,058.88 = 243.75 : x
  2. Step 2: Convert to fraction form
    706.10/1,058.88 = 243.75/x
  3. Step 3: Cross multiply
    706.10x = 1,058.88 × 243.75
  4. Step 4: Simplify right side
    706.10x = 258,102.00
  5. Step 5: Solve for x
    x = 258,102.00/706.10
  6. Step 6: Final answer
    x = 365.53

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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.