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Finding the Fourth Proportional to 1,153.27, 1,729.86 and 287.58

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Solution

The fourth proportional to 1,153.27, 1,729.86 and 287.58 is: 431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.27 : 1,729.86 = 287.58 : x
  2. Step 2: Convert to fraction form
    1,153.27/1,729.86 = 287.58/x
  3. Step 3: Cross multiply
    1,153.27x = 1,729.86 × 287.58
  4. Step 4: Simplify right side
    1,153.27x = 497,478.55
  5. Step 5: Solve for x
    x = 497,478.55/1,153.27
  6. Step 6: Final answer
    x = 431.36

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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.