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Finding the Fourth Proportional to 953.88, 1,435.92 and 864.60

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Solution

The fourth proportional to 953.88, 1,435.92 and 864.60 is: 1,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.88 : 1,435.92 = 864.60 : x
  2. Step 2: Convert to fraction form
    953.88/1,435.92 = 864.60/x
  3. Step 3: Cross multiply
    953.88x = 1,435.92 × 864.60
  4. Step 4: Simplify right side
    953.88x = 1,241,496.43
  5. Step 5: Solve for x
    x = 1,241,496.43/953.88
  6. Step 6: Final answer
    x = 1,301.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.