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Finding the Fourth Proportional to 1,604.91, 2,403.72 and 783.84

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Solution

The fourth proportional to 1,604.91, 2,403.72 and 783.84 is: 1,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.91 : 2,403.72 = 783.84 : x
  2. Step 2: Convert to fraction form
    1,604.91/2,403.72 = 783.84/x
  3. Step 3: Cross multiply
    1,604.91x = 2,403.72 × 783.84
  4. Step 4: Simplify right side
    1,604.91x = 1,884,131.88
  5. Step 5: Solve for x
    x = 1,884,131.88/1,604.91
  6. Step 6: Final answer
    x = 1,173.98

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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.