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Finding the Fourth Proportional to 1,103.20, 1,652.10 and 525.40

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Solution

The fourth proportional to 1,103.20, 1,652.10 and 525.40 is: 786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.20 : 1,652.10 = 525.40 : x
  2. Step 2: Convert to fraction form
    1,103.20/1,652.10 = 525.40/x
  3. Step 3: Cross multiply
    1,103.20x = 1,652.10 × 525.40
  4. Step 4: Simplify right side
    1,103.20x = 868,013.34
  5. Step 5: Solve for x
    x = 868,013.34/1,103.20
  6. Step 6: Final answer
    x = 786.81

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