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Finding the Fourth Proportional to 1,106.29, 1,525.51 and 826.08

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Solution

The fourth proportional to 1,106.29, 1,525.51 and 826.08 is: 1,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.29 : 1,525.51 = 826.08 : x
  2. Step 2: Convert to fraction form
    1,106.29/1,525.51 = 826.08/x
  3. Step 3: Cross multiply
    1,106.29x = 1,525.51 × 826.08
  4. Step 4: Simplify right side
    1,106.29x = 1,260,193.30
  5. Step 5: Solve for x
    x = 1,260,193.30/1,106.29
  6. Step 6: Final answer
    x = 1,139.12

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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.