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Finding the Fourth Proportional to 735.84, 1,015.68 and 604.56

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Solution

The fourth proportional to 735.84, 1,015.68 and 604.56 is: 834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.84 : 1,015.68 = 604.56 : x
  2. Step 2: Convert to fraction form
    735.84/1,015.68 = 604.56/x
  3. Step 3: Cross multiply
    735.84x = 1,015.68 × 604.56
  4. Step 4: Simplify right side
    735.84x = 614,039.50
  5. Step 5: Solve for x
    x = 614,039.50/735.84
  6. Step 6: Final answer
    x = 834.47

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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.