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Finding the Fourth Proportional to 735.88, 1,102.60 and 599

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Solution

The fourth proportional to 735.88, 1,102.60 and 599 is: 897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,102.60 = 599 : x
  2. Step 2: Convert to fraction form
    735.88/1,102.60 = 599/x
  3. Step 3: Cross multiply
    735.88x = 1,102.60 × 599
  4. Step 4: Simplify right side
    735.88x = 660,457.40
  5. Step 5: Solve for x
    x = 660,457.40/735.88
  6. Step 6: Final answer
    x = 897.51

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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.