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Finding the Fourth Proportional to 1,244.16, 1,865.54 and 504.14

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Solution

The fourth proportional to 1,244.16, 1,865.54 and 504.14 is: 755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.16 : 1,865.54 = 504.14 : x
  2. Step 2: Convert to fraction form
    1,244.16/1,865.54 = 504.14/x
  3. Step 3: Cross multiply
    1,244.16x = 1,865.54 × 504.14
  4. Step 4: Simplify right side
    1,244.16x = 940,484.35
  5. Step 5: Solve for x
    x = 940,484.35/1,244.16
  6. Step 6: Final answer
    x = 755.92

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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.