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Finding the Fourth Proportional to 1,030.73, 1,546.16 and 381.38

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Solution

The fourth proportional to 1,030.73, 1,546.16 and 381.38 is: 572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.73 : 1,546.16 = 381.38 : x
  2. Step 2: Convert to fraction form
    1,030.73/1,546.16 = 381.38/x
  3. Step 3: Cross multiply
    1,030.73x = 1,546.16 × 381.38
  4. Step 4: Simplify right side
    1,030.73x = 589,664.86
  5. Step 5: Solve for x
    x = 589,664.86/1,030.73
  6. Step 6: Final answer
    x = 572.09

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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.