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Finding the Fourth Proportional to 1,483.52, 2,224.62 and 790.04

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Solution

The fourth proportional to 1,483.52, 2,224.62 and 790.04 is: 1,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.52 : 2,224.62 = 790.04 : x
  2. Step 2: Convert to fraction form
    1,483.52/2,224.62 = 790.04/x
  3. Step 3: Cross multiply
    1,483.52x = 2,224.62 × 790.04
  4. Step 4: Simplify right side
    1,483.52x = 1,757,538.78
  5. Step 5: Solve for x
    x = 1,757,538.78/1,483.52
  6. Step 6: Final answer
    x = 1,184.71

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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.