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Finding the Fourth Proportional to 852.49, 1,176.75 and 829.07

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Solution

The fourth proportional to 852.49, 1,176.75 and 829.07 is: 1,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.49 : 1,176.75 = 829.07 : x
  2. Step 2: Convert to fraction form
    852.49/1,176.75 = 829.07/x
  3. Step 3: Cross multiply
    852.49x = 1,176.75 × 829.07
  4. Step 4: Simplify right side
    852.49x = 975,602.24
  5. Step 5: Solve for x
    x = 975,602.24/852.49
  6. Step 6: Final answer
    x = 1,144.42

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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.