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Finding the Fourth Proportional to 1,061.81, 1,593.33 and 445.46

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Solution

The fourth proportional to 1,061.81, 1,593.33 and 445.46 is: 668.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.81 : 1,593.33 = 445.46 : x
  2. Step 2: Convert to fraction form
    1,061.81/1,593.33 = 445.46/x
  3. Step 3: Cross multiply
    1,061.81x = 1,593.33 × 445.46
  4. Step 4: Simplify right side
    1,061.81x = 709,762.55
  5. Step 5: Solve for x
    x = 709,762.55/1,061.81
  6. Step 6: Final answer
    x = 668.45

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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.