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Finding the Fourth Proportional to 732.99, 1,098.46 and 651.68

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Solution

The fourth proportional to 732.99, 1,098.46 and 651.68 is: 976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.99 : 1,098.46 = 651.68 : x
  2. Step 2: Convert to fraction form
    732.99/1,098.46 = 651.68/x
  3. Step 3: Cross multiply
    732.99x = 1,098.46 × 651.68
  4. Step 4: Simplify right side
    732.99x = 715,844.41
  5. Step 5: Solve for x
    x = 715,844.41/732.99
  6. Step 6: Final answer
    x = 976.61

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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.