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Finding the Fourth Proportional to 952.19, 1,314.19 and 704.23

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Solution

The fourth proportional to 952.19, 1,314.19 and 704.23 is: 971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.19 : 1,314.19 = 704.23 : x
  2. Step 2: Convert to fraction form
    952.19/1,314.19 = 704.23/x
  3. Step 3: Cross multiply
    952.19x = 1,314.19 × 704.23
  4. Step 4: Simplify right side
    952.19x = 925,492.02
  5. Step 5: Solve for x
    x = 925,492.02/952.19
  6. Step 6: Final answer
    x = 971.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.