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Finding the Fourth Proportional to 675.86, 1,014.63 and 672.74

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Solution

The fourth proportional to 675.86, 1,014.63 and 672.74 is: 1,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.86 : 1,014.63 = 672.74 : x
  2. Step 2: Convert to fraction form
    675.86/1,014.63 = 672.74/x
  3. Step 3: Cross multiply
    675.86x = 1,014.63 × 672.74
  4. Step 4: Simplify right side
    675.86x = 682,582.19
  5. Step 5: Solve for x
    x = 682,582.19/675.86
  6. Step 6: Final answer
    x = 1,009.95

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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.