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Finding the Fourth Proportional to 1,016.33, 1,523.98 and 468.04

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Solution

The fourth proportional to 1,016.33, 1,523.98 and 468.04 is: 701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.33 : 1,523.98 = 468.04 : x
  2. Step 2: Convert to fraction form
    1,016.33/1,523.98 = 468.04/x
  3. Step 3: Cross multiply
    1,016.33x = 1,523.98 × 468.04
  4. Step 4: Simplify right side
    1,016.33x = 713,283.60
  5. Step 5: Solve for x
    x = 713,283.60/1,016.33
  6. Step 6: Final answer
    x = 701.82

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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.