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Finding the Fourth Proportional to 1,313.81, 1,969.65 and 534.18

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Solution

The fourth proportional to 1,313.81, 1,969.65 and 534.18 is: 800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.81 : 1,969.65 = 534.18 : x
  2. Step 2: Convert to fraction form
    1,313.81/1,969.65 = 534.18/x
  3. Step 3: Cross multiply
    1,313.81x = 1,969.65 × 534.18
  4. Step 4: Simplify right side
    1,313.81x = 1,052,143.94
  5. Step 5: Solve for x
    x = 1,052,143.94/1,313.81
  6. Step 6: Final answer
    x = 800.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.