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Finding the Fourth Proportional to 1,334.14, 2,000.76 and 468.34

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Solution

The fourth proportional to 1,334.14, 2,000.76 and 468.34 is: 702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.14 : 2,000.76 = 468.34 : x
  2. Step 2: Convert to fraction form
    1,334.14/2,000.76 = 468.34/x
  3. Step 3: Cross multiply
    1,334.14x = 2,000.76 × 468.34
  4. Step 4: Simplify right side
    1,334.14x = 937,035.94
  5. Step 5: Solve for x
    x = 937,035.94/1,334.14
  6. Step 6: Final answer
    x = 702.35

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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.