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Finding the Fourth Proportional to 690.40, 1,036.07 and 325.23

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Solution

The fourth proportional to 690.40, 1,036.07 and 325.23 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.40 : 1,036.07 = 325.23 : x
  2. Step 2: Convert to fraction form
    690.40/1,036.07 = 325.23/x
  3. Step 3: Cross multiply
    690.40x = 1,036.07 × 325.23
  4. Step 4: Simplify right side
    690.40x = 336,961.05
  5. Step 5: Solve for x
    x = 336,961.05/690.40
  6. Step 6: Final answer
    x = 488.07

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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.