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Finding the Fourth Proportional to 761.04, 1,050.07 and 462.22

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Solution

The fourth proportional to 761.04, 1,050.07 and 462.22 is: 637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,050.07 = 462.22 : x
  2. Step 2: Convert to fraction form
    761.04/1,050.07 = 462.22/x
  3. Step 3: Cross multiply
    761.04x = 1,050.07 × 462.22
  4. Step 4: Simplify right side
    761.04x = 485,363.36
  5. Step 5: Solve for x
    x = 485,363.36/761.04
  6. Step 6: Final answer
    x = 637.76

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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.