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Finding the Fourth Proportional to 761.24, 1,050.08 and 462.44

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Solution

The fourth proportional to 761.24, 1,050.08 and 462.44 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,050.08 = 462.44 : x
  2. Step 2: Convert to fraction form
    761.24/1,050.08 = 462.44/x
  3. Step 3: Cross multiply
    761.24x = 1,050.08 × 462.44
  4. Step 4: Simplify right side
    761.24x = 485,599.00
  5. Step 5: Solve for x
    x = 485,599.00/761.24
  6. Step 6: Final answer
    x = 637.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.