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Finding the Fourth Proportional to 1,003.88, 1,505.84 and 345.76

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Solution

The fourth proportional to 1,003.88, 1,505.84 and 345.76 is: 518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.88 : 1,505.84 = 345.76 : x
  2. Step 2: Convert to fraction form
    1,003.88/1,505.84 = 345.76/x
  3. Step 3: Cross multiply
    1,003.88x = 1,505.84 × 345.76
  4. Step 4: Simplify right side
    1,003.88x = 520,659.24
  5. Step 5: Solve for x
    x = 520,659.24/1,003.88
  6. Step 6: Final answer
    x = 518.65

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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.