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Finding the Fourth Proportional to 1,003.36, 1,505.30 and 354.12

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Solution

The fourth proportional to 1,003.36, 1,505.30 and 354.12 is: 531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.36 : 1,505.30 = 354.12 : x
  2. Step 2: Convert to fraction form
    1,003.36/1,505.30 = 354.12/x
  3. Step 3: Cross multiply
    1,003.36x = 1,505.30 × 354.12
  4. Step 4: Simplify right side
    1,003.36x = 533,056.84
  5. Step 5: Solve for x
    x = 533,056.84/1,003.36
  6. Step 6: Final answer
    x = 531.27

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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.