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Finding the Fourth Proportional to 1,105.08, 1,525.07 and 632.99

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Solution

The fourth proportional to 1,105.08, 1,525.07 and 632.99 is: 873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.08 : 1,525.07 = 632.99 : x
  2. Step 2: Convert to fraction form
    1,105.08/1,525.07 = 632.99/x
  3. Step 3: Cross multiply
    1,105.08x = 1,525.07 × 632.99
  4. Step 4: Simplify right side
    1,105.08x = 965,343.27
  5. Step 5: Solve for x
    x = 965,343.27/1,105.08
  6. Step 6: Final answer
    x = 873.55

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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.