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Finding the Fourth Proportional to 722.10, 1,082.54 and 305.61

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Solution

The fourth proportional to 722.10, 1,082.54 and 305.61 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 1,082.54 = 305.61 : x
  2. Step 2: Convert to fraction form
    722.10/1,082.54 = 305.61/x
  3. Step 3: Cross multiply
    722.10x = 1,082.54 × 305.61
  4. Step 4: Simplify right side
    722.10x = 330,836.12
  5. Step 5: Solve for x
    x = 330,836.12/722.10
  6. Step 6: Final answer
    x = 458.16

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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.