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Finding the Fourth Proportional to 1,166.94, 1,750.21 and 436.39

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Solution

The fourth proportional to 1,166.94, 1,750.21 and 436.39 is: 654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.94 : 1,750.21 = 436.39 : x
  2. Step 2: Convert to fraction form
    1,166.94/1,750.21 = 436.39/x
  3. Step 3: Cross multiply
    1,166.94x = 1,750.21 × 436.39
  4. Step 4: Simplify right side
    1,166.94x = 763,768.68
  5. Step 5: Solve for x
    x = 763,768.68/1,166.94
  6. Step 6: Final answer
    x = 654.51

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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.