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Finding the Fourth Proportional to 1,030.94, 1,553.38 and 852.34

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Solution

The fourth proportional to 1,030.94, 1,553.38 and 852.34 is: 1,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.94 : 1,553.38 = 852.34 : x
  2. Step 2: Convert to fraction form
    1,030.94/1,553.38 = 852.34/x
  3. Step 3: Cross multiply
    1,030.94x = 1,553.38 × 852.34
  4. Step 4: Simplify right side
    1,030.94x = 1,324,007.91
  5. Step 5: Solve for x
    x = 1,324,007.91/1,030.94
  6. Step 6: Final answer
    x = 1,284.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.