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Finding the Fourth Proportional to 690.87, 1,034.91 and 430.23

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Solution

The fourth proportional to 690.87, 1,034.91 and 430.23 is: 644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 1,034.91 = 430.23 : x
  2. Step 2: Convert to fraction form
    690.87/1,034.91 = 430.23/x
  3. Step 3: Cross multiply
    690.87x = 1,034.91 × 430.23
  4. Step 4: Simplify right side
    690.87x = 445,249.33
  5. Step 5: Solve for x
    x = 445,249.33/690.87
  6. Step 6: Final answer
    x = 644.48

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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.