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Finding the Fourth Proportional to 1,244.18, 1,864.65 and 512.75

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Solution

The fourth proportional to 1,244.18, 1,864.65 and 512.75 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.18 : 1,864.65 = 512.75 : x
  2. Step 2: Convert to fraction form
    1,244.18/1,864.65 = 512.75/x
  3. Step 3: Cross multiply
    1,244.18x = 1,864.65 × 512.75
  4. Step 4: Simplify right side
    1,244.18x = 956,099.29
  5. Step 5: Solve for x
    x = 956,099.29/1,244.18
  6. Step 6: Final answer
    x = 768.46

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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.