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Finding the Fourth Proportional to 952.48, 1,315.20 and 704.08

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Solution

The fourth proportional to 952.48, 1,315.20 and 704.08 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.48 : 1,315.20 = 704.08 : x
  2. Step 2: Convert to fraction form
    952.48/1,315.20 = 704.08/x
  3. Step 3: Cross multiply
    952.48x = 1,315.20 × 704.08
  4. Step 4: Simplify right side
    952.48x = 926,006.02
  5. Step 5: Solve for x
    x = 926,006.02/952.48
  6. Step 6: Final answer
    x = 972.21

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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.