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Finding the Fourth Proportional to 1,244.03, 1,865.82 and 503.45

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Solution

The fourth proportional to 1,244.03, 1,865.82 and 503.45 is: 755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.03 : 1,865.82 = 503.45 : x
  2. Step 2: Convert to fraction form
    1,244.03/1,865.82 = 503.45/x
  3. Step 3: Cross multiply
    1,244.03x = 1,865.82 × 503.45
  4. Step 4: Simplify right side
    1,244.03x = 939,348.25
  5. Step 5: Solve for x
    x = 939,348.25/1,244.03
  6. Step 6: Final answer
    x = 755.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.