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Finding the Fourth Proportional to 1,166.84, 1,749.80 and 436.02

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Solution

The fourth proportional to 1,166.84, 1,749.80 and 436.02 is: 653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.84 : 1,749.80 = 436.02 : x
  2. Step 2: Convert to fraction form
    1,166.84/1,749.80 = 436.02/x
  3. Step 3: Cross multiply
    1,166.84x = 1,749.80 × 436.02
  4. Step 4: Simplify right side
    1,166.84x = 762,942.32
  5. Step 5: Solve for x
    x = 762,942.32/1,166.84
  6. Step 6: Final answer
    x = 653.85

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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.