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Finding the Fourth Proportional to 1,082.32, 1,483.86 and 1,062.88

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Solution

The fourth proportional to 1,082.32, 1,483.86 and 1,062.88 is: 1,457.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.32 : 1,483.86 = 1,062.88 : x
  2. Step 2: Convert to fraction form
    1,082.32/1,483.86 = 1,062.88/x
  3. Step 3: Cross multiply
    1,082.32x = 1,483.86 × 1,062.88
  4. Step 4: Simplify right side
    1,082.32x = 1,577,165.12
  5. Step 5: Solve for x
    x = 1,577,165.12/1,082.32
  6. Step 6: Final answer
    x = 1,457.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.