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Finding the Fourth Proportional to 1,191.94, 1,636.11 and 1,058.02

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Solution

The fourth proportional to 1,191.94, 1,636.11 and 1,058.02 is: 1,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.94 : 1,636.11 = 1,058.02 : x
  2. Step 2: Convert to fraction form
    1,191.94/1,636.11 = 1,058.02/x
  3. Step 3: Cross multiply
    1,191.94x = 1,636.11 × 1,058.02
  4. Step 4: Simplify right side
    1,191.94x = 1,731,031.81
  5. Step 5: Solve for x
    x = 1,731,031.81/1,191.94
  6. Step 6: Final answer
    x = 1,452.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.