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Finding the Fourth Proportional to 953.02, 1,426.11 and 563.23

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Solution

The fourth proportional to 953.02, 1,426.11 and 563.23 is: 842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,426.11 = 563.23 : x
  2. Step 2: Convert to fraction form
    953.02/1,426.11 = 563.23/x
  3. Step 3: Cross multiply
    953.02x = 1,426.11 × 563.23
  4. Step 4: Simplify right side
    953.02x = 803,223.59
  5. Step 5: Solve for x
    x = 803,223.59/953.02
  6. Step 6: Final answer
    x = 842.82

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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.