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Finding the Fourth Proportional to 1,313.14, 1,971.06 and 620.35

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Solution

The fourth proportional to 1,313.14, 1,971.06 and 620.35 is: 931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.14 : 1,971.06 = 620.35 : x
  2. Step 2: Convert to fraction form
    1,313.14/1,971.06 = 620.35/x
  3. Step 3: Cross multiply
    1,313.14x = 1,971.06 × 620.35
  4. Step 4: Simplify right side
    1,313.14x = 1,222,747.07
  5. Step 5: Solve for x
    x = 1,222,747.07/1,313.14
  6. Step 6: Final answer
    x = 931.16

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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.