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Finding the Fourth Proportional to 952.33, 1,428.95 and 829.16

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Solution

The fourth proportional to 952.33, 1,428.95 and 829.16 is: 1,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.33 : 1,428.95 = 829.16 : x
  2. Step 2: Convert to fraction form
    952.33/1,428.95 = 829.16/x
  3. Step 3: Cross multiply
    952.33x = 1,428.95 × 829.16
  4. Step 4: Simplify right side
    952.33x = 1,184,824.04
  5. Step 5: Solve for x
    x = 1,184,824.04/952.33
  6. Step 6: Final answer
    x = 1,244.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.