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Finding the Fourth Proportional to 1,483.41, 2,224.29 and 509.25

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Solution

The fourth proportional to 1,483.41, 2,224.29 and 509.25 is: 763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.41 : 2,224.29 = 509.25 : x
  2. Step 2: Convert to fraction form
    1,483.41/2,224.29 = 509.25/x
  3. Step 3: Cross multiply
    1,483.41x = 2,224.29 × 509.25
  4. Step 4: Simplify right side
    1,483.41x = 1,132,719.68
  5. Step 5: Solve for x
    x = 1,132,719.68/1,483.41
  6. Step 6: Final answer
    x = 763.59

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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.