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Finding the Fourth Proportional to 1,012.03, 1,514.81 and 542.33

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Solution

The fourth proportional to 1,012.03, 1,514.81 and 542.33 is: 811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.03 : 1,514.81 = 542.33 : x
  2. Step 2: Convert to fraction form
    1,012.03/1,514.81 = 542.33/x
  3. Step 3: Cross multiply
    1,012.03x = 1,514.81 × 542.33
  4. Step 4: Simplify right side
    1,012.03x = 821,527.58
  5. Step 5: Solve for x
    x = 821,527.58/1,012.03
  6. Step 6: Final answer
    x = 811.76

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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.