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Finding the Fourth Proportional to 761.00, 1,050.17 and 411.68

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Solution

The fourth proportional to 761.00, 1,050.17 and 411.68 is: 568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.00 : 1,050.17 = 411.68 : x
  2. Step 2: Convert to fraction form
    761.00/1,050.17 = 411.68/x
  3. Step 3: Cross multiply
    761.00x = 1,050.17 × 411.68
  4. Step 4: Simplify right side
    761.00x = 432,336.87
  5. Step 5: Solve for x
    x = 432,336.87/761.00
  6. Step 6: Final answer
    x = 568.12

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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.