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Finding the Fourth Proportional to 1,015.35, 1,526.40 and 834.09

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Solution

The fourth proportional to 1,015.35, 1,526.40 and 834.09 is: 1,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.35 : 1,526.40 = 834.09 : x
  2. Step 2: Convert to fraction form
    1,015.35/1,526.40 = 834.09/x
  3. Step 3: Cross multiply
    1,015.35x = 1,526.40 × 834.09
  4. Step 4: Simplify right side
    1,015.35x = 1,273,154.98
  5. Step 5: Solve for x
    x = 1,273,154.98/1,015.35
  6. Step 6: Final answer
    x = 1,253.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.