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Finding the Fourth Proportional to 953.70, 1,429.74 and 466.26

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Solution

The fourth proportional to 953.70, 1,429.74 and 466.26 is: 698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.70 : 1,429.74 = 466.26 : x
  2. Step 2: Convert to fraction form
    953.70/1,429.74 = 466.26/x
  3. Step 3: Cross multiply
    953.70x = 1,429.74 × 466.26
  4. Step 4: Simplify right side
    953.70x = 666,630.57
  5. Step 5: Solve for x
    x = 666,630.57/953.70
  6. Step 6: Final answer
    x = 698.99

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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.