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Finding the Fourth Proportional to 1,109.09, 1,663.64 and 492.63

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Solution

The fourth proportional to 1,109.09, 1,663.64 and 492.63 is: 738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.09 : 1,663.64 = 492.63 : x
  2. Step 2: Convert to fraction form
    1,109.09/1,663.64 = 492.63/x
  3. Step 3: Cross multiply
    1,109.09x = 1,663.64 × 492.63
  4. Step 4: Simplify right side
    1,109.09x = 819,548.19
  5. Step 5: Solve for x
    x = 819,548.19/1,109.09
  6. Step 6: Final answer
    x = 738.94

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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.