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Finding the Fourth Proportional to 1,664.20, 2,495.58 and 509.56

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Solution

The fourth proportional to 1,664.20, 2,495.58 and 509.56 is: 764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.20 : 2,495.58 = 509.56 : x
  2. Step 2: Convert to fraction form
    1,664.20/2,495.58 = 509.56/x
  3. Step 3: Cross multiply
    1,664.20x = 2,495.58 × 509.56
  4. Step 4: Simplify right side
    1,664.20x = 1,271,647.74
  5. Step 5: Solve for x
    x = 1,271,647.74/1,664.20
  6. Step 6: Final answer
    x = 764.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.