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Finding the Fourth Proportional to 988.52, 1,364.10 and 546.46

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Solution

The fourth proportional to 988.52, 1,364.10 and 546.46 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,364.10 = 546.46 : x
  2. Step 2: Convert to fraction form
    988.52/1,364.10 = 546.46/x
  3. Step 3: Cross multiply
    988.52x = 1,364.10 × 546.46
  4. Step 4: Simplify right side
    988.52x = 745,419.27
  5. Step 5: Solve for x
    x = 745,419.27/988.52
  6. Step 6: Final answer
    x = 754.08

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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.