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Finding the Fourth Proportional to 1,654.02, 2,480.88 and 499.76

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Solution

The fourth proportional to 1,654.02, 2,480.88 and 499.76 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.02 : 2,480.88 = 499.76 : x
  2. Step 2: Convert to fraction form
    1,654.02/2,480.88 = 499.76/x
  3. Step 3: Cross multiply
    1,654.02x = 2,480.88 × 499.76
  4. Step 4: Simplify right side
    1,654.02x = 1,239,844.59
  5. Step 5: Solve for x
    x = 1,239,844.59/1,654.02
  6. Step 6: Final answer
    x = 749.59

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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.