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Finding the Fourth Proportional to 1,314.36, 1,968.71 and 619.98

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Solution

The fourth proportional to 1,314.36, 1,968.71 and 619.98 is: 928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.36 : 1,968.71 = 619.98 : x
  2. Step 2: Convert to fraction form
    1,314.36/1,968.71 = 619.98/x
  3. Step 3: Cross multiply
    1,314.36x = 1,968.71 × 619.98
  4. Step 4: Simplify right side
    1,314.36x = 1,220,557.73
  5. Step 5: Solve for x
    x = 1,220,557.73/1,314.36
  6. Step 6: Final answer
    x = 928.63

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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.