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Finding the Fourth Proportional to 852.36, 1,166.14 and 848.72

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Solution

The fourth proportional to 852.36, 1,166.14 and 848.72 is: 1,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.36 : 1,166.14 = 848.72 : x
  2. Step 2: Convert to fraction form
    852.36/1,166.14 = 848.72/x
  3. Step 3: Cross multiply
    852.36x = 1,166.14 × 848.72
  4. Step 4: Simplify right side
    852.36x = 989,726.34
  5. Step 5: Solve for x
    x = 989,726.34/852.36
  6. Step 6: Final answer
    x = 1,161.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.