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Finding the Fourth Proportional to 705.98, 1,058.70 and 243.63

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Solution

The fourth proportional to 705.98, 1,058.70 and 243.63 is: 365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 1,058.70 = 243.63 : x
  2. Step 2: Convert to fraction form
    705.98/1,058.70 = 243.63/x
  3. Step 3: Cross multiply
    705.98x = 1,058.70 × 243.63
  4. Step 4: Simplify right side
    705.98x = 257,931.99
  5. Step 5: Solve for x
    x = 257,931.99/705.98
  6. Step 6: Final answer
    x = 365.35

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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.