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Finding the Fourth Proportional to 1,161.63, 1,742.31 and 392.13

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Solution

The fourth proportional to 1,161.63, 1,742.31 and 392.13 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.63 : 1,742.31 = 392.13 : x
  2. Step 2: Convert to fraction form
    1,161.63/1,742.31 = 392.13/x
  3. Step 3: Cross multiply
    1,161.63x = 1,742.31 × 392.13
  4. Step 4: Simplify right side
    1,161.63x = 683,212.02
  5. Step 5: Solve for x
    x = 683,212.02/1,161.63
  6. Step 6: Final answer
    x = 588.15

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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.