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Finding the Fourth Proportional to 1,161.50, 1,742.28 and 458.68

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Solution

The fourth proportional to 1,161.50, 1,742.28 and 458.68 is: 688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.50 : 1,742.28 = 458.68 : x
  2. Step 2: Convert to fraction form
    1,161.50/1,742.28 = 458.68/x
  3. Step 3: Cross multiply
    1,161.50x = 1,742.28 × 458.68
  4. Step 4: Simplify right side
    1,161.50x = 799,148.99
  5. Step 5: Solve for x
    x = 799,148.99/1,161.50
  6. Step 6: Final answer
    x = 688.03

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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.