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Finding the Fourth Proportional to 720.88, 993.65 and 563.24

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Solution

The fourth proportional to 720.88, 993.65 and 563.24 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.88 : 993.65 = 563.24 : x
  2. Step 2: Convert to fraction form
    720.88/993.65 = 563.24/x
  3. Step 3: Cross multiply
    720.88x = 993.65 × 563.24
  4. Step 4: Simplify right side
    720.88x = 559,665.46
  5. Step 5: Solve for x
    x = 559,665.46/720.88
  6. Step 6: Final answer
    x = 776.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.