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Finding the Fourth Proportional to 1,513.54, 2,270.03 and 473.41

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Solution

The fourth proportional to 1,513.54, 2,270.03 and 473.41 is: 710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.54 : 2,270.03 = 473.41 : x
  2. Step 2: Convert to fraction form
    1,513.54/2,270.03 = 473.41/x
  3. Step 3: Cross multiply
    1,513.54x = 2,270.03 × 473.41
  4. Step 4: Simplify right side
    1,513.54x = 1,074,652.54
  5. Step 5: Solve for x
    x = 1,074,652.54/1,513.54
  6. Step 6: Final answer
    x = 710.03

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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.