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Finding the Fourth Proportional to 675.64, 1,012.70 and 415.83

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Solution

The fourth proportional to 675.64, 1,012.70 and 415.83 is: 623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.64 : 1,012.70 = 415.83 : x
  2. Step 2: Convert to fraction form
    675.64/1,012.70 = 415.83/x
  3. Step 3: Cross multiply
    675.64x = 1,012.70 × 415.83
  4. Step 4: Simplify right side
    675.64x = 421,115.88
  5. Step 5: Solve for x
    x = 421,115.88/675.64
  6. Step 6: Final answer
    x = 623.28

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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.