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Finding the Fourth Proportional to 693.02, 1,039.85 and 682.10

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Solution

The fourth proportional to 693.02, 1,039.85 and 682.10 is: 1,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.02 : 1,039.85 = 682.10 : x
  2. Step 2: Convert to fraction form
    693.02/1,039.85 = 682.10/x
  3. Step 3: Cross multiply
    693.02x = 1,039.85 × 682.10
  4. Step 4: Simplify right side
    693.02x = 709,281.69
  5. Step 5: Solve for x
    x = 709,281.69/693.02
  6. Step 6: Final answer
    x = 1,023.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.