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Finding the Fourth Proportional to 559.93, 773.06 and 525.07

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Solution

The fourth proportional to 559.93, 773.06 and 525.07 is: 724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.93 : 773.06 = 525.07 : x
  2. Step 2: Convert to fraction form
    559.93/773.06 = 525.07/x
  3. Step 3: Cross multiply
    559.93x = 773.06 × 525.07
  4. Step 4: Simplify right side
    559.93x = 405,910.61
  5. Step 5: Solve for x
    x = 405,910.61/559.93
  6. Step 6: Final answer
    x = 724.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.