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Finding the Fourth Proportional to 1,098.63, 1,647.35 and 448.83

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Solution

The fourth proportional to 1,098.63, 1,647.35 and 448.83 is: 673.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.63 : 1,647.35 = 448.83 : x
  2. Step 2: Convert to fraction form
    1,098.63/1,647.35 = 448.83/x
  3. Step 3: Cross multiply
    1,098.63x = 1,647.35 × 448.83
  4. Step 4: Simplify right side
    1,098.63x = 739,377.86
  5. Step 5: Solve for x
    x = 739,377.86/1,098.63
  6. Step 6: Final answer
    x = 673.00

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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.