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Finding the Fourth Proportional to 737.42, 1,112.82 and 712.94

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Solution

The fourth proportional to 737.42, 1,112.82 and 712.94 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.42 : 1,112.82 = 712.94 : x
  2. Step 2: Convert to fraction form
    737.42/1,112.82 = 712.94/x
  3. Step 3: Cross multiply
    737.42x = 1,112.82 × 712.94
  4. Step 4: Simplify right side
    737.42x = 793,373.89
  5. Step 5: Solve for x
    x = 793,373.89/737.42
  6. Step 6: Final answer
    x = 1,075.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.