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Finding the Fourth Proportional to 1,483.02, 2,224.47 and 387.36

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Solution

The fourth proportional to 1,483.02, 2,224.47 and 387.36 is: 581.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.02 : 2,224.47 = 387.36 : x
  2. Step 2: Convert to fraction form
    1,483.02/2,224.47 = 387.36/x
  3. Step 3: Cross multiply
    1,483.02x = 2,224.47 × 387.36
  4. Step 4: Simplify right side
    1,483.02x = 861,670.70
  5. Step 5: Solve for x
    x = 861,670.70/1,483.02
  6. Step 6: Final answer
    x = 581.02

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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.