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Finding the Fourth Proportional to 988.52, 1,364.80 and 634.58

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Solution

The fourth proportional to 988.52, 1,364.80 and 634.58 is: 876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,364.80 = 634.58 : x
  2. Step 2: Convert to fraction form
    988.52/1,364.80 = 634.58/x
  3. Step 3: Cross multiply
    988.52x = 1,364.80 × 634.58
  4. Step 4: Simplify right side
    988.52x = 866,072.96
  5. Step 5: Solve for x
    x = 866,072.96/988.52
  6. Step 6: Final answer
    x = 876.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.