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Finding the Fourth Proportional to 1,135.71, 1,704.21 and 442.28

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Solution

The fourth proportional to 1,135.71, 1,704.21 and 442.28 is: 663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.71 : 1,704.21 = 442.28 : x
  2. Step 2: Convert to fraction form
    1,135.71/1,704.21 = 442.28/x
  3. Step 3: Cross multiply
    1,135.71x = 1,704.21 × 442.28
  4. Step 4: Simplify right side
    1,135.71x = 753,742.26
  5. Step 5: Solve for x
    x = 753,742.26/1,135.71
  6. Step 6: Final answer
    x = 663.67

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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.