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Finding the Fourth Proportional to 705.89, 1,058.84 and 462.08

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Solution

The fourth proportional to 705.89, 1,058.84 and 462.08 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.89 : 1,058.84 = 462.08 : x
  2. Step 2: Convert to fraction form
    705.89/1,058.84 = 462.08/x
  3. Step 3: Cross multiply
    705.89x = 1,058.84 × 462.08
  4. Step 4: Simplify right side
    705.89x = 489,268.79
  5. Step 5: Solve for x
    x = 489,268.79/705.89
  6. Step 6: Final answer
    x = 693.12

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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.