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Finding the Fourth Proportional to 931, 1,284.80 and 538.03

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Solution

The fourth proportional to 931, 1,284.80 and 538.03 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    931 : 1,284.80 = 538.03 : x
  2. Step 2: Convert to fraction form
    931/1,284.80 = 538.03/x
  3. Step 3: Cross multiply
    931x = 1,284.80 × 538.03
  4. Step 4: Simplify right side
    931x = 691,260.94
  5. Step 5: Solve for x
    x = 691,260.94/931
  6. Step 6: Final answer
    x = 742.49

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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.