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Finding the Fourth Proportional to 753.03, 1,129.55 and 205.20

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Solution

The fourth proportional to 753.03, 1,129.55 and 205.20 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.03 : 1,129.55 = 205.20 : x
  2. Step 2: Convert to fraction form
    753.03/1,129.55 = 205.20/x
  3. Step 3: Cross multiply
    753.03x = 1,129.55 × 205.20
  4. Step 4: Simplify right side
    753.03x = 231,782.63
  5. Step 5: Solve for x
    x = 231,782.63/753.03
  6. Step 6: Final answer
    x = 307.80

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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.