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Finding the Fourth Proportional to 1,605.06, 2,407.41 and 509.49

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Solution

The fourth proportional to 1,605.06, 2,407.41 and 509.49 is: 764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.06 : 2,407.41 = 509.49 : x
  2. Step 2: Convert to fraction form
    1,605.06/2,407.41 = 509.49/x
  3. Step 3: Cross multiply
    1,605.06x = 2,407.41 × 509.49
  4. Step 4: Simplify right side
    1,605.06x = 1,226,551.32
  5. Step 5: Solve for x
    x = 1,226,551.32/1,605.06
  6. Step 6: Final answer
    x = 764.18

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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.