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Finding the Fourth Proportional to 772.41, 1,158.39 and 407.00

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Solution

The fourth proportional to 772.41, 1,158.39 and 407.00 is: 610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.41 : 1,158.39 = 407.00 : x
  2. Step 2: Convert to fraction form
    772.41/1,158.39 = 407.00/x
  3. Step 3: Cross multiply
    772.41x = 1,158.39 × 407.00
  4. Step 4: Simplify right side
    772.41x = 471,463.80
  5. Step 5: Solve for x
    x = 471,463.80/772.41
  6. Step 6: Final answer
    x = 610.38

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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.