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Finding the Fourth Proportional to 1,106.38, 1,525.10 and 826.19

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Solution

The fourth proportional to 1,106.38, 1,525.10 and 826.19 is: 1,138.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.38 : 1,525.10 = 826.19 : x
  2. Step 2: Convert to fraction form
    1,106.38/1,525.10 = 826.19/x
  3. Step 3: Cross multiply
    1,106.38x = 1,525.10 × 826.19
  4. Step 4: Simplify right side
    1,106.38x = 1,260,022.37
  5. Step 5: Solve for x
    x = 1,260,022.37/1,106.38
  6. Step 6: Final answer
    x = 1,138.87

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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.