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Finding the Fourth Proportional to 1,483.72, 2,224.96 and 509.90

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Solution

The fourth proportional to 1,483.72, 2,224.96 and 509.90 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.72 : 2,224.96 = 509.90 : x
  2. Step 2: Convert to fraction form
    1,483.72/2,224.96 = 509.90/x
  3. Step 3: Cross multiply
    1,483.72x = 2,224.96 × 509.90
  4. Step 4: Simplify right side
    1,483.72x = 1,134,507.10
  5. Step 5: Solve for x
    x = 1,134,507.10/1,483.72
  6. Step 6: Final answer
    x = 764.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.