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Finding the Fourth Proportional to 1,001.42, 1,382.02 and 553.30

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Solution

The fourth proportional to 1,001.42, 1,382.02 and 553.30 is: 763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.42 : 1,382.02 = 553.30 : x
  2. Step 2: Convert to fraction form
    1,001.42/1,382.02 = 553.30/x
  3. Step 3: Cross multiply
    1,001.42x = 1,382.02 × 553.30
  4. Step 4: Simplify right side
    1,001.42x = 764,673.63
  5. Step 5: Solve for x
    x = 764,673.63/1,001.42
  6. Step 6: Final answer
    x = 763.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.