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Finding the Fourth Proportional to 690.40, 1,034.12 and 432.64

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Solution

The fourth proportional to 690.40, 1,034.12 and 432.64 is: 648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.40 : 1,034.12 = 432.64 : x
  2. Step 2: Convert to fraction form
    690.40/1,034.12 = 432.64/x
  3. Step 3: Cross multiply
    690.40x = 1,034.12 × 432.64
  4. Step 4: Simplify right side
    690.40x = 447,401.68
  5. Step 5: Solve for x
    x = 447,401.68/690.40
  6. Step 6: Final answer
    x = 648.03

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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.