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Finding the Fourth Proportional to 1,328.48, 1,832.96 and 862.64

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Solution

The fourth proportional to 1,328.48, 1,832.96 and 862.64 is: 1,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.48 : 1,832.96 = 862.64 : x
  2. Step 2: Convert to fraction form
    1,328.48/1,832.96 = 862.64/x
  3. Step 3: Cross multiply
    1,328.48x = 1,832.96 × 862.64
  4. Step 4: Simplify right side
    1,328.48x = 1,581,184.61
  5. Step 5: Solve for x
    x = 1,581,184.61/1,328.48
  6. Step 6: Final answer
    x = 1,190.22

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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.