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Finding the Fourth Proportional to 687.02, 1,031.03 and 504.90

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Solution

The fourth proportional to 687.02, 1,031.03 and 504.90 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.02 : 1,031.03 = 504.90 : x
  2. Step 2: Convert to fraction form
    687.02/1,031.03 = 504.90/x
  3. Step 3: Cross multiply
    687.02x = 1,031.03 × 504.90
  4. Step 4: Simplify right side
    687.02x = 520,566.42
  5. Step 5: Solve for x
    x = 520,566.42/687.02
  6. Step 6: Final answer
    x = 757.72

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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.