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Finding the Fourth Proportional to 1,103.26, 1,655.39 and 526.18

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Solution

The fourth proportional to 1,103.26, 1,655.39 and 526.18 is: 789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.26 : 1,655.39 = 526.18 : x
  2. Step 2: Convert to fraction form
    1,103.26/1,655.39 = 526.18/x
  3. Step 3: Cross multiply
    1,103.26x = 1,655.39 × 526.18
  4. Step 4: Simplify right side
    1,103.26x = 871,033.11
  5. Step 5: Solve for x
    x = 871,033.11/1,103.26
  6. Step 6: Final answer
    x = 789.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.