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Finding the Fourth Proportional to 722.32, 990.41 and 652.12

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Solution

The fourth proportional to 722.32, 990.41 and 652.12 is: 894.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 990.41 = 652.12 : x
  2. Step 2: Convert to fraction form
    722.32/990.41 = 652.12/x
  3. Step 3: Cross multiply
    722.32x = 990.41 × 652.12
  4. Step 4: Simplify right side
    722.32x = 645,866.17
  5. Step 5: Solve for x
    x = 645,866.17/722.32
  6. Step 6: Final answer
    x = 894.16

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