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Finding the Fourth Proportional to 693.76, 955.20 and 563.20

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Solution

The fourth proportional to 693.76, 955.20 and 563.20 is: 775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.76 : 955.20 = 563.20 : x
  2. Step 2: Convert to fraction form
    693.76/955.20 = 563.20/x
  3. Step 3: Cross multiply
    693.76x = 955.20 × 563.20
  4. Step 4: Simplify right side
    693.76x = 537,968.64
  5. Step 5: Solve for x
    x = 537,968.64/693.76
  6. Step 6: Final answer
    x = 775.44

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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.