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Finding the Fourth Proportional to 1,313.84, 1,971.45 and 620.15

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Solution

The fourth proportional to 1,313.84, 1,971.45 and 620.15 is: 930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.84 : 1,971.45 = 620.15 : x
  2. Step 2: Convert to fraction form
    1,313.84/1,971.45 = 620.15/x
  3. Step 3: Cross multiply
    1,313.84x = 1,971.45 × 620.15
  4. Step 4: Simplify right side
    1,313.84x = 1,222,594.72
  5. Step 5: Solve for x
    x = 1,222,594.72/1,313.84
  6. Step 6: Final answer
    x = 930.55

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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.