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Finding the Fourth Proportional to 665.79, 1,000.13 and 563.28

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Solution

The fourth proportional to 665.79, 1,000.13 and 563.28 is: 846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.79 : 1,000.13 = 563.28 : x
  2. Step 2: Convert to fraction form
    665.79/1,000.13 = 563.28/x
  3. Step 3: Cross multiply
    665.79x = 1,000.13 × 563.28
  4. Step 4: Simplify right side
    665.79x = 563,350.41
  5. Step 5: Solve for x
    x = 563,350.41/665.79
  6. Step 6: Final answer
    x = 846.14

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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.