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Finding the Fourth Proportional to 835.20, 1,151.76 and 586.80

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Solution

The fourth proportional to 835.20, 1,151.76 and 586.80 is: 809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.20 : 1,151.76 = 586.80 : x
  2. Step 2: Convert to fraction form
    835.20/1,151.76 = 586.80/x
  3. Step 3: Cross multiply
    835.20x = 1,151.76 × 586.80
  4. Step 4: Simplify right side
    835.20x = 675,852.77
  5. Step 5: Solve for x
    x = 675,852.77/835.20
  6. Step 6: Final answer
    x = 809.21

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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.