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Finding the Fourth Proportional to 1,234.41, 1,849.77 and 503.58

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Solution

The fourth proportional to 1,234.41, 1,849.77 and 503.58 is: 754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.41 : 1,849.77 = 503.58 : x
  2. Step 2: Convert to fraction form
    1,234.41/1,849.77 = 503.58/x
  3. Step 3: Cross multiply
    1,234.41x = 1,849.77 × 503.58
  4. Step 4: Simplify right side
    1,234.41x = 931,507.18
  5. Step 5: Solve for x
    x = 931,507.18/1,234.41
  6. Step 6: Final answer
    x = 754.62

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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.