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Finding the Fourth Proportional to 761.19, 1,050.44 and 411.88

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Solution

The fourth proportional to 761.19, 1,050.44 and 411.88 is: 568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.19 : 1,050.44 = 411.88 : x
  2. Step 2: Convert to fraction form
    761.19/1,050.44 = 411.88/x
  3. Step 3: Cross multiply
    761.19x = 1,050.44 × 411.88
  4. Step 4: Simplify right side
    761.19x = 432,655.23
  5. Step 5: Solve for x
    x = 432,655.23/761.19
  6. Step 6: Final answer
    x = 568.39

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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.