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Finding the Fourth Proportional to 1,230.30, 1,845.72 and 364.59

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Solution

The fourth proportional to 1,230.30, 1,845.72 and 364.59 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.30 : 1,845.72 = 364.59 : x
  2. Step 2: Convert to fraction form
    1,230.30/1,845.72 = 364.59/x
  3. Step 3: Cross multiply
    1,230.30x = 1,845.72 × 364.59
  4. Step 4: Simplify right side
    1,230.30x = 672,931.05
  5. Step 5: Solve for x
    x = 672,931.05/1,230.30
  6. Step 6: Final answer
    x = 546.97

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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.