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Finding the Fourth Proportional to 1,166.63, 1,749.94 and 436.55

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Solution

The fourth proportional to 1,166.63, 1,749.94 and 436.55 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.63 : 1,749.94 = 436.55 : x
  2. Step 2: Convert to fraction form
    1,166.63/1,749.94 = 436.55/x
  3. Step 3: Cross multiply
    1,166.63x = 1,749.94 × 436.55
  4. Step 4: Simplify right side
    1,166.63x = 763,926.47
  5. Step 5: Solve for x
    x = 763,926.47/1,166.63
  6. Step 6: Final answer
    x = 654.82

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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.