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Finding the Fourth Proportional to 953.24, 1,429.29 and 459.34

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Solution

The fourth proportional to 953.24, 1,429.29 and 459.34 is: 688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.24 : 1,429.29 = 459.34 : x
  2. Step 2: Convert to fraction form
    953.24/1,429.29 = 459.34/x
  3. Step 3: Cross multiply
    953.24x = 1,429.29 × 459.34
  4. Step 4: Simplify right side
    953.24x = 656,534.54
  5. Step 5: Solve for x
    x = 656,534.54/953.24
  6. Step 6: Final answer
    x = 688.74

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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.