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Finding the Fourth Proportional to 1,669.60, 2,504.76 and 499.64

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Solution

The fourth proportional to 1,669.60, 2,504.76 and 499.64 is: 749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.60 : 2,504.76 = 499.64 : x
  2. Step 2: Convert to fraction form
    1,669.60/2,504.76 = 499.64/x
  3. Step 3: Cross multiply
    1,669.60x = 2,504.76 × 499.64
  4. Step 4: Simplify right side
    1,669.60x = 1,251,478.29
  5. Step 5: Solve for x
    x = 1,251,478.29/1,669.60
  6. Step 6: Final answer
    x = 749.57

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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.