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Finding the Fourth Proportional to 946.89, 1,302.74 and 834.35

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Solution

The fourth proportional to 946.89, 1,302.74 and 834.35 is: 1,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.89 : 1,302.74 = 834.35 : x
  2. Step 2: Convert to fraction form
    946.89/1,302.74 = 834.35/x
  3. Step 3: Cross multiply
    946.89x = 1,302.74 × 834.35
  4. Step 4: Simplify right side
    946.89x = 1,086,941.12
  5. Step 5: Solve for x
    x = 1,086,941.12/946.89
  6. Step 6: Final answer
    x = 1,147.91

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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.