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Finding the Fourth Proportional to 810.64, 1,216.14 and 630.28

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Solution

The fourth proportional to 810.64, 1,216.14 and 630.28 is: 945.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.64 : 1,216.14 = 630.28 : x
  2. Step 2: Convert to fraction form
    810.64/1,216.14 = 630.28/x
  3. Step 3: Cross multiply
    810.64x = 1,216.14 × 630.28
  4. Step 4: Simplify right side
    810.64x = 766,508.72
  5. Step 5: Solve for x
    x = 766,508.72/810.64
  6. Step 6: Final answer
    x = 945.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.