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Finding the Fourth Proportional to 834.93, 1,153.29 and 678.60

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Solution

The fourth proportional to 834.93, 1,153.29 and 678.60 is: 937.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.93 : 1,153.29 = 678.60 : x
  2. Step 2: Convert to fraction form
    834.93/1,153.29 = 678.60/x
  3. Step 3: Cross multiply
    834.93x = 1,153.29 × 678.60
  4. Step 4: Simplify right side
    834.93x = 782,622.59
  5. Step 5: Solve for x
    x = 782,622.59/834.93
  6. Step 6: Final answer
    x = 937.35

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