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Finding the Fourth Proportional to 952.02, 1,313.82 and 598.05

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Solution

The fourth proportional to 952.02, 1,313.82 and 598.05 is: 825.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.02 : 1,313.82 = 598.05 : x
  2. Step 2: Convert to fraction form
    952.02/1,313.82 = 598.05/x
  3. Step 3: Cross multiply
    952.02x = 1,313.82 × 598.05
  4. Step 4: Simplify right side
    952.02x = 785,730.05
  5. Step 5: Solve for x
    x = 785,730.05/952.02
  6. Step 6: Final answer
    x = 825.33

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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.