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Finding the Fourth Proportional to 753.60, 1,130.20 and 205.82

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Solution

The fourth proportional to 753.60, 1,130.20 and 205.82 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.60 : 1,130.20 = 205.82 : x
  2. Step 2: Convert to fraction form
    753.60/1,130.20 = 205.82/x
  3. Step 3: Cross multiply
    753.60x = 1,130.20 × 205.82
  4. Step 4: Simplify right side
    753.60x = 232,617.76
  5. Step 5: Solve for x
    x = 232,617.76/753.60
  6. Step 6: Final answer
    x = 308.68

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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.