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Finding the Fourth Proportional to 1,158.86, 1,736.04 and 882.92

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Solution

The fourth proportional to 1,158.86, 1,736.04 and 882.92 is: 1,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.86 : 1,736.04 = 882.92 : x
  2. Step 2: Convert to fraction form
    1,158.86/1,736.04 = 882.92/x
  3. Step 3: Cross multiply
    1,158.86x = 1,736.04 × 882.92
  4. Step 4: Simplify right side
    1,158.86x = 1,532,784.44
  5. Step 5: Solve for x
    x = 1,532,784.44/1,158.86
  6. Step 6: Final answer
    x = 1,322.67

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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.