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Finding the Fourth Proportional to 1,319.40, 1,821.98 and 1,059.32

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Solution

The fourth proportional to 1,319.40, 1,821.98 and 1,059.32 is: 1,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.40 : 1,821.98 = 1,059.32 : x
  2. Step 2: Convert to fraction form
    1,319.40/1,821.98 = 1,059.32/x
  3. Step 3: Cross multiply
    1,319.40x = 1,821.98 × 1,059.32
  4. Step 4: Simplify right side
    1,319.40x = 1,930,059.85
  5. Step 5: Solve for x
    x = 1,930,059.85/1,319.40
  6. Step 6: Final answer
    x = 1,462.83

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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.