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Finding the Fourth Proportional to 1,604.86, 2,405.86 and 631.64

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Solution

The fourth proportional to 1,604.86, 2,405.86 and 631.64 is: 946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.86 : 2,405.86 = 631.64 : x
  2. Step 2: Convert to fraction form
    1,604.86/2,405.86 = 631.64/x
  3. Step 3: Cross multiply
    1,604.86x = 2,405.86 × 631.64
  4. Step 4: Simplify right side
    1,604.86x = 1,519,637.41
  5. Step 5: Solve for x
    x = 1,519,637.41/1,604.86
  6. Step 6: Final answer
    x = 946.90

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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.