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Finding the Fourth Proportional to 693.87, 958.37 and 507.06

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Solution

The fourth proportional to 693.87, 958.37 and 507.06 is: 700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.87 : 958.37 = 507.06 : x
  2. Step 2: Convert to fraction form
    693.87/958.37 = 507.06/x
  3. Step 3: Cross multiply
    693.87x = 958.37 × 507.06
  4. Step 4: Simplify right side
    693.87x = 485,948.56
  5. Step 5: Solve for x
    x = 485,948.56/693.87
  6. Step 6: Final answer
    x = 700.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.