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Finding the Fourth Proportional to 1,455.25, 2,181.65 and 632.90

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Solution

The fourth proportional to 1,455.25, 2,181.65 and 632.90 is: 948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.25 : 2,181.65 = 632.90 : x
  2. Step 2: Convert to fraction form
    1,455.25/2,181.65 = 632.90/x
  3. Step 3: Cross multiply
    1,455.25x = 2,181.65 × 632.90
  4. Step 4: Simplify right side
    1,455.25x = 1,380,766.29
  5. Step 5: Solve for x
    x = 1,380,766.29/1,455.25
  6. Step 6: Final answer
    x = 948.82

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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.