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Finding the Fourth Proportional to 1,244.64, 1,867.56 and 514.80

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Solution

The fourth proportional to 1,244.64, 1,867.56 and 514.80 is: 772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.64 : 1,867.56 = 514.80 : x
  2. Step 2: Convert to fraction form
    1,244.64/1,867.56 = 514.80/x
  3. Step 3: Cross multiply
    1,244.64x = 1,867.56 × 514.80
  4. Step 4: Simplify right side
    1,244.64x = 961,419.89
  5. Step 5: Solve for x
    x = 961,419.89/1,244.64
  6. Step 6: Final answer
    x = 772.45

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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.