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Finding the Fourth Proportional to 940.53, 1,297.98 and 520.89

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Solution

The fourth proportional to 940.53, 1,297.98 and 520.89 is: 718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.53 : 1,297.98 = 520.89 : x
  2. Step 2: Convert to fraction form
    940.53/1,297.98 = 520.89/x
  3. Step 3: Cross multiply
    940.53x = 1,297.98 × 520.89
  4. Step 4: Simplify right side
    940.53x = 676,099.93
  5. Step 5: Solve for x
    x = 676,099.93/940.53
  6. Step 6: Final answer
    x = 718.85

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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.