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Finding the Fourth Proportional to 1,106.29, 1,525.89 and 713.44

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Solution

The fourth proportional to 1,106.29, 1,525.89 and 713.44 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.29 : 1,525.89 = 713.44 : x
  2. Step 2: Convert to fraction form
    1,106.29/1,525.89 = 713.44/x
  3. Step 3: Cross multiply
    1,106.29x = 1,525.89 × 713.44
  4. Step 4: Simplify right side
    1,106.29x = 1,088,630.96
  5. Step 5: Solve for x
    x = 1,088,630.96/1,106.29
  6. Step 6: Final answer
    x = 984.04

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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.