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Finding the Fourth Proportional to 835.56, 1,152.36 and 586.80

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Solution

The fourth proportional to 835.56, 1,152.36 and 586.80 is: 809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.56 : 1,152.36 = 586.80 : x
  2. Step 2: Convert to fraction form
    835.56/1,152.36 = 586.80/x
  3. Step 3: Cross multiply
    835.56x = 1,152.36 × 586.80
  4. Step 4: Simplify right side
    835.56x = 676,204.85
  5. Step 5: Solve for x
    x = 676,204.85/835.56
  6. Step 6: Final answer
    x = 809.28

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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.