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Finding the Fourth Proportional to 723.07, 991.44 and 652.87

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Solution

The fourth proportional to 723.07, 991.44 and 652.87 is: 895.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.07 : 991.44 = 652.87 : x
  2. Step 2: Convert to fraction form
    723.07/991.44 = 652.87/x
  3. Step 3: Cross multiply
    723.07x = 991.44 × 652.87
  4. Step 4: Simplify right side
    723.07x = 647,281.43
  5. Step 5: Solve for x
    x = 647,281.43/723.07
  6. Step 6: Final answer
    x = 895.19

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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.