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Finding the Fourth Proportional to 761.21, 1,050.46 and 411.89

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Solution

The fourth proportional to 761.21, 1,050.46 and 411.89 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.21 : 1,050.46 = 411.89 : x
  2. Step 2: Convert to fraction form
    761.21/1,050.46 = 411.89/x
  3. Step 3: Cross multiply
    761.21x = 1,050.46 × 411.89
  4. Step 4: Simplify right side
    761.21x = 432,677.11
  5. Step 5: Solve for x
    x = 432,677.11/761.21
  6. Step 6: Final answer
    x = 568.41

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Why These Related Problems?

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