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Finding the Fourth Proportional to 988.75, 1,364.37 and 546.64

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Solution

The fourth proportional to 988.75, 1,364.37 and 546.64 is: 754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.75 : 1,364.37 = 546.64 : x
  2. Step 2: Convert to fraction form
    988.75/1,364.37 = 546.64/x
  3. Step 3: Cross multiply
    988.75x = 1,364.37 × 546.64
  4. Step 4: Simplify right side
    988.75x = 745,819.22
  5. Step 5: Solve for x
    x = 745,819.22/988.75
  6. Step 6: Final answer
    x = 754.31

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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.