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Finding the Fourth Proportional to 1,518.30, 2,275.48 and 684.75

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Solution

The fourth proportional to 1,518.30, 2,275.48 and 684.75 is: 1,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.30 : 2,275.48 = 684.75 : x
  2. Step 2: Convert to fraction form
    1,518.30/2,275.48 = 684.75/x
  3. Step 3: Cross multiply
    1,518.30x = 2,275.48 × 684.75
  4. Step 4: Simplify right side
    1,518.30x = 1,558,131.51
  5. Step 5: Solve for x
    x = 1,558,131.51/1,518.30
  6. Step 6: Final answer
    x = 1,026.23

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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.