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Finding the Fourth Proportional to 675.80, 1,014.18 and 502.88

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Solution

The fourth proportional to 675.80, 1,014.18 and 502.88 is: 754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.80 : 1,014.18 = 502.88 : x
  2. Step 2: Convert to fraction form
    675.80/1,014.18 = 502.88/x
  3. Step 3: Cross multiply
    675.80x = 1,014.18 × 502.88
  4. Step 4: Simplify right side
    675.80x = 510,010.84
  5. Step 5: Solve for x
    x = 510,010.84/675.80
  6. Step 6: Final answer
    x = 754.68

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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.