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Finding the Fourth Proportional to 901.04, 1,352.14 and 833.42

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Solution

The fourth proportional to 901.04, 1,352.14 and 833.42 is: 1,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.04 : 1,352.14 = 833.42 : x
  2. Step 2: Convert to fraction form
    901.04/1,352.14 = 833.42/x
  3. Step 3: Cross multiply
    901.04x = 1,352.14 × 833.42
  4. Step 4: Simplify right side
    901.04x = 1,126,900.52
  5. Step 5: Solve for x
    x = 1,126,900.52/901.04
  6. Step 6: Final answer
    x = 1,250.67

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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.