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Finding the Fourth Proportional to 1,713.25, 2,569.82 and 480.63

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Solution

The fourth proportional to 1,713.25, 2,569.82 and 480.63 is: 720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.25 : 2,569.82 = 480.63 : x
  2. Step 2: Convert to fraction form
    1,713.25/2,569.82 = 480.63/x
  3. Step 3: Cross multiply
    1,713.25x = 2,569.82 × 480.63
  4. Step 4: Simplify right side
    1,713.25x = 1,235,130.18
  5. Step 5: Solve for x
    x = 1,235,130.18/1,713.25
  6. Step 6: Final answer
    x = 720.93

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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.