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Finding the Fourth Proportional to 705.93, 1,058.07 and 462.03

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Solution

The fourth proportional to 705.93, 1,058.07 and 462.03 is: 692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 1,058.07 = 462.03 : x
  2. Step 2: Convert to fraction form
    705.93/1,058.07 = 462.03/x
  3. Step 3: Cross multiply
    705.93x = 1,058.07 × 462.03
  4. Step 4: Simplify right side
    705.93x = 488,860.08
  5. Step 5: Solve for x
    x = 488,860.08/705.93
  6. Step 6: Final answer
    x = 692.51

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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.