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Finding the Fourth Proportional to 1,313.31, 1,967.79 and 581.07

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Solution

The fourth proportional to 1,313.31, 1,967.79 and 581.07 is: 870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.31 : 1,967.79 = 581.07 : x
  2. Step 2: Convert to fraction form
    1,313.31/1,967.79 = 581.07/x
  3. Step 3: Cross multiply
    1,313.31x = 1,967.79 × 581.07
  4. Step 4: Simplify right side
    1,313.31x = 1,143,423.74
  5. Step 5: Solve for x
    x = 1,143,423.74/1,313.31
  6. Step 6: Final answer
    x = 870.64

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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.