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Finding the Fourth Proportional to 1,003.07, 1,504.80 and 354.26

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Solution

The fourth proportional to 1,003.07, 1,504.80 and 354.26 is: 531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.07 : 1,504.80 = 354.26 : x
  2. Step 2: Convert to fraction form
    1,003.07/1,504.80 = 354.26/x
  3. Step 3: Cross multiply
    1,003.07x = 1,504.80 × 354.26
  4. Step 4: Simplify right side
    1,003.07x = 533,086.74
  5. Step 5: Solve for x
    x = 533,086.74/1,003.07
  6. Step 6: Final answer
    x = 531.46

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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.