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Finding the Fourth Proportional to 1,103, 1,655.28 and 525.92

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Solution

The fourth proportional to 1,103, 1,655.28 and 525.92 is: 789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103 : 1,655.28 = 525.92 : x
  2. Step 2: Convert to fraction form
    1,103/1,655.28 = 525.92/x
  3. Step 3: Cross multiply
    1,103x = 1,655.28 × 525.92
  4. Step 4: Simplify right side
    1,103x = 870,544.86
  5. Step 5: Solve for x
    x = 870,544.86/1,103
  6. Step 6: Final answer
    x = 789.25

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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.