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Finding the Fourth Proportional to 1,004.09, 1,505.86 and 354.47

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Solution

The fourth proportional to 1,004.09, 1,505.86 and 354.47 is: 531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.09 : 1,505.86 = 354.47 : x
  2. Step 2: Convert to fraction form
    1,004.09/1,505.86 = 354.47/x
  3. Step 3: Cross multiply
    1,004.09x = 1,505.86 × 354.47
  4. Step 4: Simplify right side
    1,004.09x = 533,782.19
  5. Step 5: Solve for x
    x = 533,782.19/1,004.09
  6. Step 6: Final answer
    x = 531.61

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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.