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Finding the Fourth Proportional to 690.45, 1,036.01 and 325.27

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Solution

The fourth proportional to 690.45, 1,036.01 and 325.27 is: 488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.45 : 1,036.01 = 325.27 : x
  2. Step 2: Convert to fraction form
    690.45/1,036.01 = 325.27/x
  3. Step 3: Cross multiply
    690.45x = 1,036.01 × 325.27
  4. Step 4: Simplify right side
    690.45x = 336,982.97
  5. Step 5: Solve for x
    x = 336,982.97/690.45
  6. Step 6: Final answer
    x = 488.06

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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.