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Finding the Fourth Proportional to 1,539.02, 2,308.45 and 499.01

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Solution

The fourth proportional to 1,539.02, 2,308.45 and 499.01 is: 748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.02 : 2,308.45 = 499.01 : x
  2. Step 2: Convert to fraction form
    1,539.02/2,308.45 = 499.01/x
  3. Step 3: Cross multiply
    1,539.02x = 2,308.45 × 499.01
  4. Step 4: Simplify right side
    1,539.02x = 1,151,939.63
  5. Step 5: Solve for x
    x = 1,151,939.63/1,539.02
  6. Step 6: Final answer
    x = 748.49

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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.