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Finding the Fourth Proportional to 1,004.34, 1,505.91 and 345.99

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Solution

The fourth proportional to 1,004.34, 1,505.91 and 345.99 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.34 : 1,505.91 = 345.99 : x
  2. Step 2: Convert to fraction form
    1,004.34/1,505.91 = 345.99/x
  3. Step 3: Cross multiply
    1,004.34x = 1,505.91 × 345.99
  4. Step 4: Simplify right side
    1,004.34x = 521,029.80
  5. Step 5: Solve for x
    x = 521,029.80/1,004.34
  6. Step 6: Final answer
    x = 518.78

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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.