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Finding the Fourth Proportional to 835.12, 1,151.40 and 601.84

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Solution

The fourth proportional to 835.12, 1,151.40 and 601.84 is: 829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.12 : 1,151.40 = 601.84 : x
  2. Step 2: Convert to fraction form
    835.12/1,151.40 = 601.84/x
  3. Step 3: Cross multiply
    835.12x = 1,151.40 × 601.84
  4. Step 4: Simplify right side
    835.12x = 692,958.58
  5. Step 5: Solve for x
    x = 692,958.58/835.12
  6. Step 6: Final answer
    x = 829.77

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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.