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Finding the Fourth Proportional to 1,346.51, 2,020.99 and 567.09

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Solution

The fourth proportional to 1,346.51, 2,020.99 and 567.09 is: 851.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.51 : 2,020.99 = 567.09 : x
  2. Step 2: Convert to fraction form
    1,346.51/2,020.99 = 567.09/x
  3. Step 3: Cross multiply
    1,346.51x = 2,020.99 × 567.09
  4. Step 4: Simplify right side
    1,346.51x = 1,146,081.80
  5. Step 5: Solve for x
    x = 1,146,081.80/1,346.51
  6. Step 6: Final answer
    x = 851.15

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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.