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Finding the Fourth Proportional to 1,009.54, 1,392.33 and 852.54

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Solution

The fourth proportional to 1,009.54, 1,392.33 and 852.54 is: 1,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.54 : 1,392.33 = 852.54 : x
  2. Step 2: Convert to fraction form
    1,009.54/1,392.33 = 852.54/x
  3. Step 3: Cross multiply
    1,009.54x = 1,392.33 × 852.54
  4. Step 4: Simplify right side
    1,009.54x = 1,187,017.02
  5. Step 5: Solve for x
    x = 1,187,017.02/1,009.54
  6. Step 6: Final answer
    x = 1,175.80

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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.