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Finding the Fourth Proportional to 1,232.90, 1,849.68 and 503.00

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Solution

The fourth proportional to 1,232.90, 1,849.68 and 503.00 is: 754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.90 : 1,849.68 = 503.00 : x
  2. Step 2: Convert to fraction form
    1,232.90/1,849.68 = 503.00/x
  3. Step 3: Cross multiply
    1,232.90x = 1,849.68 × 503.00
  4. Step 4: Simplify right side
    1,232.90x = 930,379.79
  5. Step 5: Solve for x
    x = 930,379.79/1,232.90
  6. Step 6: Final answer
    x = 754.63

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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.