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Finding the Fourth Proportional to 1,003.84, 1,505.49 and 354.22

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Solution

The fourth proportional to 1,003.84, 1,505.49 and 354.22 is: 531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.84 : 1,505.49 = 354.22 : x
  2. Step 2: Convert to fraction form
    1,003.84/1,505.49 = 354.22/x
  3. Step 3: Cross multiply
    1,003.84x = 1,505.49 × 354.22
  4. Step 4: Simplify right side
    1,003.84x = 533,274.67
  5. Step 5: Solve for x
    x = 533,274.67/1,003.84
  6. Step 6: Final answer
    x = 531.23

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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.