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Finding the Fourth Proportional to 1,030.81, 1,546.82 and 382

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Solution

The fourth proportional to 1,030.81, 1,546.82 and 382 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.81 : 1,546.82 = 382 : x
  2. Step 2: Convert to fraction form
    1,030.81/1,546.82 = 382/x
  3. Step 3: Cross multiply
    1,030.81x = 1,546.82 × 382
  4. Step 4: Simplify right side
    1,030.81x = 590,885.24
  5. Step 5: Solve for x
    x = 590,885.24/1,030.81
  6. Step 6: Final answer
    x = 573.22

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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.