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Finding the Fourth Proportional to 1,098.28, 1,511.40 and 1,062.64

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Solution

The fourth proportional to 1,098.28, 1,511.40 and 1,062.64 is: 1,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.28 : 1,511.40 = 1,062.64 : x
  2. Step 2: Convert to fraction form
    1,098.28/1,511.40 = 1,062.64/x
  3. Step 3: Cross multiply
    1,098.28x = 1,511.40 × 1,062.64
  4. Step 4: Simplify right side
    1,098.28x = 1,606,074.10
  5. Step 5: Solve for x
    x = 1,606,074.10/1,098.28
  6. Step 6: Final answer
    x = 1,462.35

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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.