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Finding the Fourth Proportional to 1,039.02, 1,432.67 and 851.91

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Solution

The fourth proportional to 1,039.02, 1,432.67 and 851.91 is: 1,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.02 : 1,432.67 = 851.91 : x
  2. Step 2: Convert to fraction form
    1,039.02/1,432.67 = 851.91/x
  3. Step 3: Cross multiply
    1,039.02x = 1,432.67 × 851.91
  4. Step 4: Simplify right side
    1,039.02x = 1,220,501.64
  5. Step 5: Solve for x
    x = 1,220,501.64/1,039.02
  6. Step 6: Final answer
    x = 1,174.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.