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Finding the Fourth Proportional to 1,012.42, 1,518.63 and 282.00

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Solution

The fourth proportional to 1,012.42, 1,518.63 and 282.00 is: 423.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.42 : 1,518.63 = 282.00 : x
  2. Step 2: Convert to fraction form
    1,012.42/1,518.63 = 282.00/x
  3. Step 3: Cross multiply
    1,012.42x = 1,518.63 × 282.00
  4. Step 4: Simplify right side
    1,012.42x = 428,251.34
  5. Step 5: Solve for x
    x = 428,251.34/1,012.42
  6. Step 6: Final answer
    x = 423.00

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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.