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Finding the Fourth Proportional to 722.49, 990.54 and 709.35

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Solution

The fourth proportional to 722.49, 990.54 and 709.35 is: 972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 990.54 = 709.35 : x
  2. Step 2: Convert to fraction form
    722.49/990.54 = 709.35/x
  3. Step 3: Cross multiply
    722.49x = 990.54 × 709.35
  4. Step 4: Simplify right side
    722.49x = 702,639.55
  5. Step 5: Solve for x
    x = 702,639.55/722.49
  6. Step 6: Final answer
    x = 972.52

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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.