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Finding the Fourth Proportional to 705.38, 1,058.26 and 583.08

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Solution

The fourth proportional to 705.38, 1,058.26 and 583.08 is: 874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,058.26 = 583.08 : x
  2. Step 2: Convert to fraction form
    705.38/1,058.26 = 583.08/x
  3. Step 3: Cross multiply
    705.38x = 1,058.26 × 583.08
  4. Step 4: Simplify right side
    705.38x = 617,050.24
  5. Step 5: Solve for x
    x = 617,050.24/705.38
  6. Step 6: Final answer
    x = 874.78

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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.