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Finding the Fourth Proportional to 735.89, 1,099.07 and 581.99

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Solution

The fourth proportional to 735.89, 1,099.07 and 581.99 is: 869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.89 : 1,099.07 = 581.99 : x
  2. Step 2: Convert to fraction form
    735.89/1,099.07 = 581.99/x
  3. Step 3: Cross multiply
    735.89x = 1,099.07 × 581.99
  4. Step 4: Simplify right side
    735.89x = 639,641.53
  5. Step 5: Solve for x
    x = 639,641.53/735.89
  6. Step 6: Final answer
    x = 869.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.