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Finding the Fourth Proportional to 675.64, 1,013.78 and 506.04

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Solution

The fourth proportional to 675.64, 1,013.78 and 506.04 is: 759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 1,013.78 = 506.04 : x
  2. Step 2: Convert to fraction form
    675.64/1,013.78 = 506.04/x
  3. Step 3: Cross multiply
    675.64x = 1,013.78 × 506.04
  4. Step 4: Simplify right side
    675.64x = 513,013.23
  5. Step 5: Solve for x
    x = 513,013.23/675.64
  6. Step 6: Final answer
    x = 759.30

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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.