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Finding the Fourth Proportional to 690.96, 1,037.92 and 434.64

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Solution

The fourth proportional to 690.96, 1,037.92 and 434.64 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.96 : 1,037.92 = 434.64 : x
  2. Step 2: Convert to fraction form
    690.96/1,037.92 = 434.64/x
  3. Step 3: Cross multiply
    690.96x = 1,037.92 × 434.64
  4. Step 4: Simplify right side
    690.96x = 451,121.55
  5. Step 5: Solve for x
    x = 451,121.55/690.96
  6. Step 6: Final answer
    x = 652.89

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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.