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Finding the Fourth Proportional to 952.29, 1,428.84 and 838.08

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Solution

The fourth proportional to 952.29, 1,428.84 and 838.08 is: 1,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.29 : 1,428.84 = 838.08 : x
  2. Step 2: Convert to fraction form
    952.29/1,428.84 = 838.08/x
  3. Step 3: Cross multiply
    952.29x = 1,428.84 × 838.08
  4. Step 4: Simplify right side
    952.29x = 1,197,482.23
  5. Step 5: Solve for x
    x = 1,197,482.23/952.29
  6. Step 6: Final answer
    x = 1,257.48

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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.