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Finding the Fourth Proportional to 1,106.05, 1,525.44 and 807.31

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Solution

The fourth proportional to 1,106.05, 1,525.44 and 807.31 is: 1,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.05 : 1,525.44 = 807.31 : x
  2. Step 2: Convert to fraction form
    1,106.05/1,525.44 = 807.31/x
  3. Step 3: Cross multiply
    1,106.05x = 1,525.44 × 807.31
  4. Step 4: Simplify right side
    1,106.05x = 1,231,502.97
  5. Step 5: Solve for x
    x = 1,231,502.97/1,106.05
  6. Step 6: Final answer
    x = 1,113.42

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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.