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Finding the Fourth Proportional to 905.04, 1,358.14 and 837.42

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Solution

The fourth proportional to 905.04, 1,358.14 and 837.42 is: 1,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.04 : 1,358.14 = 837.42 : x
  2. Step 2: Convert to fraction form
    905.04/1,358.14 = 837.42/x
  3. Step 3: Cross multiply
    905.04x = 1,358.14 × 837.42
  4. Step 4: Simplify right side
    905.04x = 1,137,333.60
  5. Step 5: Solve for x
    x = 1,137,333.60/905.04
  6. Step 6: Final answer
    x = 1,256.67

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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.