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Finding the Fourth Proportional to 1,016.52, 1,522.75 and 467.94

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Solution

The fourth proportional to 1,016.52, 1,522.75 and 467.94 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.52 : 1,522.75 = 467.94 : x
  2. Step 2: Convert to fraction form
    1,016.52/1,522.75 = 467.94/x
  3. Step 3: Cross multiply
    1,016.52x = 1,522.75 × 467.94
  4. Step 4: Simplify right side
    1,016.52x = 712,555.64
  5. Step 5: Solve for x
    x = 712,555.64/1,016.52
  6. Step 6: Final answer
    x = 700.98

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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.