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Finding the Fourth Proportional to 761.76, 1,049.67 and 584.70

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Solution

The fourth proportional to 761.76, 1,049.67 and 584.70 is: 805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.76 : 1,049.67 = 584.70 : x
  2. Step 2: Convert to fraction form
    761.76/1,049.67 = 584.70/x
  3. Step 3: Cross multiply
    761.76x = 1,049.67 × 584.70
  4. Step 4: Simplify right side
    761.76x = 613,742.05
  5. Step 5: Solve for x
    x = 613,742.05/761.76
  6. Step 6: Final answer
    x = 805.69

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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.