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Finding the Fourth Proportional to 1,604.86, 2,407.62 and 509.06

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Solution

The fourth proportional to 1,604.86, 2,407.62 and 509.06 is: 763.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.86 : 2,407.62 = 509.06 : x
  2. Step 2: Convert to fraction form
    1,604.86/2,407.62 = 509.06/x
  3. Step 3: Cross multiply
    1,604.86x = 2,407.62 × 509.06
  4. Step 4: Simplify right side
    1,604.86x = 1,225,630.97
  5. Step 5: Solve for x
    x = 1,225,630.97/1,604.86
  6. Step 6: Final answer
    x = 763.70

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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.