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Finding the Fourth Proportional to 1,034.83, 1,426.44 and 702.67

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Solution

The fourth proportional to 1,034.83, 1,426.44 and 702.67 is: 968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.83 : 1,426.44 = 702.67 : x
  2. Step 2: Convert to fraction form
    1,034.83/1,426.44 = 702.67/x
  3. Step 3: Cross multiply
    1,034.83x = 1,426.44 × 702.67
  4. Step 4: Simplify right side
    1,034.83x = 1,002,321.01
  5. Step 5: Solve for x
    x = 1,002,321.01/1,034.83
  6. Step 6: Final answer
    x = 968.59

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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.