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Finding the Fourth Proportional to 952.82, 1,430.18 and 824.84

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Solution

The fourth proportional to 952.82, 1,430.18 and 824.84 is: 1,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,430.18 = 824.84 : x
  2. Step 2: Convert to fraction form
    952.82/1,430.18 = 824.84/x
  3. Step 3: Cross multiply
    952.82x = 1,430.18 × 824.84
  4. Step 4: Simplify right side
    952.82x = 1,179,669.67
  5. Step 5: Solve for x
    x = 1,179,669.67/952.82
  6. Step 6: Final answer
    x = 1,238.08

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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.