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Finding the Fourth Proportional to 723.98, 990.54 and 720.92

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Solution

The fourth proportional to 723.98, 990.54 and 720.92 is: 986.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.98 : 990.54 = 720.92 : x
  2. Step 2: Convert to fraction form
    723.98/990.54 = 720.92/x
  3. Step 3: Cross multiply
    723.98x = 990.54 × 720.92
  4. Step 4: Simplify right side
    723.98x = 714,100.10
  5. Step 5: Solve for x
    x = 714,100.10/723.98
  6. Step 6: Final answer
    x = 986.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.