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Finding the Fourth Proportional to 953.98, 1,429.68 and 406.68

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Solution

The fourth proportional to 953.98, 1,429.68 and 406.68 is: 609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.98 : 1,429.68 = 406.68 : x
  2. Step 2: Convert to fraction form
    953.98/1,429.68 = 406.68/x
  3. Step 3: Cross multiply
    953.98x = 1,429.68 × 406.68
  4. Step 4: Simplify right side
    953.98x = 581,422.26
  5. Step 5: Solve for x
    x = 581,422.26/953.98
  6. Step 6: Final answer
    x = 609.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.