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Finding the Fourth Proportional to 1,333.42, 2,000.13 and 359.60

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Solution

The fourth proportional to 1,333.42, 2,000.13 and 359.60 is: 539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.42 : 2,000.13 = 359.60 : x
  2. Step 2: Convert to fraction form
    1,333.42/2,000.13 = 359.60/x
  3. Step 3: Cross multiply
    1,333.42x = 2,000.13 × 359.60
  4. Step 4: Simplify right side
    1,333.42x = 719,241.75
  5. Step 5: Solve for x
    x = 719,241.75/1,333.42
  6. Step 6: Final answer
    x = 539.40

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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.