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Finding the Fourth Proportional to 1,385.23, 1,911.24 and 965.11

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Solution

The fourth proportional to 1,385.23, 1,911.24 and 965.11 is: 1,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.23 : 1,911.24 = 965.11 : x
  2. Step 2: Convert to fraction form
    1,385.23/1,911.24 = 965.11/x
  3. Step 3: Cross multiply
    1,385.23x = 1,911.24 × 965.11
  4. Step 4: Simplify right side
    1,385.23x = 1,844,556.84
  5. Step 5: Solve for x
    x = 1,844,556.84/1,385.23
  6. Step 6: Final answer
    x = 1,331.59

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1.5x scale

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.