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Finding the Fourth Proportional to 953.44, 1,314.48 and 732.04

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Solution

The fourth proportional to 953.44, 1,314.48 and 732.04 is: 1,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.44 : 1,314.48 = 732.04 : x
  2. Step 2: Convert to fraction form
    953.44/1,314.48 = 732.04/x
  3. Step 3: Cross multiply
    953.44x = 1,314.48 × 732.04
  4. Step 4: Simplify right side
    953.44x = 962,251.94
  5. Step 5: Solve for x
    x = 962,251.94/953.44
  6. Step 6: Final answer
    x = 1,009.24

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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.