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Finding the Fourth Proportional to 690.48, 1,033.11 and 485.45

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Solution

The fourth proportional to 690.48, 1,033.11 and 485.45 is: 726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.48 : 1,033.11 = 485.45 : x
  2. Step 2: Convert to fraction form
    690.48/1,033.11 = 485.45/x
  3. Step 3: Cross multiply
    690.48x = 1,033.11 × 485.45
  4. Step 4: Simplify right side
    690.48x = 501,518.08
  5. Step 5: Solve for x
    x = 501,518.08/690.48
  6. Step 6: Final answer
    x = 726.33

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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.