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Finding the Fourth Proportional to 852.42, 1,281.52 and 672.00

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Solution

The fourth proportional to 852.42, 1,281.52 and 672.00 is: 1,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.42 : 1,281.52 = 672.00 : x
  2. Step 2: Convert to fraction form
    852.42/1,281.52 = 672.00/x
  3. Step 3: Cross multiply
    852.42x = 1,281.52 × 672.00
  4. Step 4: Simplify right side
    852.42x = 861,177.47
  5. Step 5: Solve for x
    x = 861,177.47/852.42
  6. Step 6: Final answer
    x = 1,010.27

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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.