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Finding the Fourth Proportional to 835.42, 1,253.13 and 784.67

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Solution

The fourth proportional to 835.42, 1,253.13 and 784.67 is: 1,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,253.13 = 784.67 : x
  2. Step 2: Convert to fraction form
    835.42/1,253.13 = 784.67/x
  3. Step 3: Cross multiply
    835.42x = 1,253.13 × 784.67
  4. Step 4: Simplify right side
    835.42x = 983,289.59
  5. Step 5: Solve for x
    x = 983,289.59/835.42
  6. Step 6: Final answer
    x = 1,177.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.