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Finding the Fourth Proportional to 1,020.68, 1,530.54 and 371.33

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Solution

The fourth proportional to 1,020.68, 1,530.54 and 371.33 is: 556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.68 : 1,530.54 = 371.33 : x
  2. Step 2: Convert to fraction form
    1,020.68/1,530.54 = 371.33/x
  3. Step 3: Cross multiply
    1,020.68x = 1,530.54 × 371.33
  4. Step 4: Simplify right side
    1,020.68x = 568,335.42
  5. Step 5: Solve for x
    x = 568,335.42/1,020.68
  6. Step 6: Final answer
    x = 556.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.