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Finding the Fourth Proportional to 690.53, 1,034.98 and 666.23

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Solution

The fourth proportional to 690.53, 1,034.98 and 666.23 is: 998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.53 : 1,034.98 = 666.23 : x
  2. Step 2: Convert to fraction form
    690.53/1,034.98 = 666.23/x
  3. Step 3: Cross multiply
    690.53x = 1,034.98 × 666.23
  4. Step 4: Simplify right side
    690.53x = 689,527.88
  5. Step 5: Solve for x
    x = 689,527.88/690.53
  6. Step 6: Final answer
    x = 998.56

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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.