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Finding the Fourth Proportional to 1,166.28, 1,749.36 and 589.14

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Solution

The fourth proportional to 1,166.28, 1,749.36 and 589.14 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.28 : 1,749.36 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,166.28/1,749.36 = 589.14/x
  3. Step 3: Cross multiply
    1,166.28x = 1,749.36 × 589.14
  4. Step 4: Simplify right side
    1,166.28x = 1,030,617.95
  5. Step 5: Solve for x
    x = 1,030,617.95/1,166.28
  6. Step 6: Final answer
    x = 883.68

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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.