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Finding the Fourth Proportional to 953.22, 1,314.48 and 729

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Solution

The fourth proportional to 953.22, 1,314.48 and 729 is: 1,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.22 : 1,314.48 = 729 : x
  2. Step 2: Convert to fraction form
    953.22/1,314.48 = 729/x
  3. Step 3: Cross multiply
    953.22x = 1,314.48 × 729
  4. Step 4: Simplify right side
    953.22x = 958,255.92
  5. Step 5: Solve for x
    x = 958,255.92/953.22
  6. Step 6: Final answer
    x = 1,005.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.