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Finding the Fourth Proportional to 1,154.27, 1,729.78 and 503.64

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Solution

The fourth proportional to 1,154.27, 1,729.78 and 503.64 is: 754.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.27 : 1,729.78 = 503.64 : x
  2. Step 2: Convert to fraction form
    1,154.27/1,729.78 = 503.64/x
  3. Step 3: Cross multiply
    1,154.27x = 1,729.78 × 503.64
  4. Step 4: Simplify right side
    1,154.27x = 871,175.23
  5. Step 5: Solve for x
    x = 871,175.23/1,154.27
  6. Step 6: Final answer
    x = 754.74

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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.