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Finding the Fourth Proportional to 1,334.04, 2,000.50 and 467.96

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Solution

The fourth proportional to 1,334.04, 2,000.50 and 467.96 is: 701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.04 : 2,000.50 = 467.96 : x
  2. Step 2: Convert to fraction form
    1,334.04/2,000.50 = 467.96/x
  3. Step 3: Cross multiply
    1,334.04x = 2,000.50 × 467.96
  4. Step 4: Simplify right side
    1,334.04x = 936,153.98
  5. Step 5: Solve for x
    x = 936,153.98/1,334.04
  6. Step 6: Final answer
    x = 701.74

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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.