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Finding the Fourth Proportional to 1,106.05, 1,525.92 and 633.70

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Solution

The fourth proportional to 1,106.05, 1,525.92 and 633.70 is: 874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.05 : 1,525.92 = 633.70 : x
  2. Step 2: Convert to fraction form
    1,106.05/1,525.92 = 633.70/x
  3. Step 3: Cross multiply
    1,106.05x = 1,525.92 × 633.70
  4. Step 4: Simplify right side
    1,106.05x = 966,975.50
  5. Step 5: Solve for x
    x = 966,975.50/1,106.05
  6. Step 6: Final answer
    x = 874.26

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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.