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Finding the Fourth Proportional to 1,523.64, 2,286.28 and 657.76

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Solution

The fourth proportional to 1,523.64, 2,286.28 and 657.76 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.64 : 2,286.28 = 657.76 : x
  2. Step 2: Convert to fraction form
    1,523.64/2,286.28 = 657.76/x
  3. Step 3: Cross multiply
    1,523.64x = 2,286.28 × 657.76
  4. Step 4: Simplify right side
    1,523.64x = 1,503,823.53
  5. Step 5: Solve for x
    x = 1,503,823.53/1,523.64
  6. Step 6: Final answer
    x = 986.99

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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.