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Finding the Fourth Proportional to 988.84, 1,364.90 and 723.44

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Solution

The fourth proportional to 988.84, 1,364.90 and 723.44 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.84 : 1,364.90 = 723.44 : x
  2. Step 2: Convert to fraction form
    988.84/1,364.90 = 723.44/x
  3. Step 3: Cross multiply
    988.84x = 1,364.90 × 723.44
  4. Step 4: Simplify right side
    988.84x = 987,423.26
  5. Step 5: Solve for x
    x = 987,423.26/988.84
  6. Step 6: Final answer
    x = 998.57

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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.