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Finding the Fourth Proportional to 1,506.29, 2,078.55 and 834.03

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Solution

The fourth proportional to 1,506.29, 2,078.55 and 834.03 is: 1,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.29 : 2,078.55 = 834.03 : x
  2. Step 2: Convert to fraction form
    1,506.29/2,078.55 = 834.03/x
  3. Step 3: Cross multiply
    1,506.29x = 2,078.55 × 834.03
  4. Step 4: Simplify right side
    1,506.29x = 1,733,573.06
  5. Step 5: Solve for x
    x = 1,733,573.06/1,506.29
  6. Step 6: Final answer
    x = 1,150.89

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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.