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Finding the Fourth Proportional to 1,513.45, 2,268.75 and 588.80

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Solution

The fourth proportional to 1,513.45, 2,268.75 and 588.80 is: 882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.45 : 2,268.75 = 588.80 : x
  2. Step 2: Convert to fraction form
    1,513.45/2,268.75 = 588.80/x
  3. Step 3: Cross multiply
    1,513.45x = 2,268.75 × 588.80
  4. Step 4: Simplify right side
    1,513.45x = 1,335,828.66
  5. Step 5: Solve for x
    x = 1,335,828.66/1,513.45
  6. Step 6: Final answer
    x = 882.64

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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.