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Finding the Fourth Proportional to 953.68, 1,314.88 and 729.89

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Solution

The fourth proportional to 953.68, 1,314.88 and 729.89 is: 1,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.68 : 1,314.88 = 729.89 : x
  2. Step 2: Convert to fraction form
    953.68/1,314.88 = 729.89/x
  3. Step 3: Cross multiply
    953.68x = 1,314.88 × 729.89
  4. Step 4: Simplify right side
    953.68x = 959,717.76
  5. Step 5: Solve for x
    x = 959,717.76/953.68
  6. Step 6: Final answer
    x = 1,006.33

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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.