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Finding the Fourth Proportional to 1,694.30, 2,541.72 and 524.25

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Solution

The fourth proportional to 1,694.30, 2,541.72 and 524.25 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.30 : 2,541.72 = 524.25 : x
  2. Step 2: Convert to fraction form
    1,694.30/2,541.72 = 524.25/x
  3. Step 3: Cross multiply
    1,694.30x = 2,541.72 × 524.25
  4. Step 4: Simplify right side
    1,694.30x = 1,332,501.75
  5. Step 5: Solve for x
    x = 1,332,501.75/1,694.30
  6. Step 6: Final answer
    x = 786.46

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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.