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Finding the Fourth Proportional to 981.08, 1,471.64 and 433.24

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Solution

The fourth proportional to 981.08, 1,471.64 and 433.24 is: 649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.08 : 1,471.64 = 433.24 : x
  2. Step 2: Convert to fraction form
    981.08/1,471.64 = 433.24/x
  3. Step 3: Cross multiply
    981.08x = 1,471.64 × 433.24
  4. Step 4: Simplify right side
    981.08x = 637,573.31
  5. Step 5: Solve for x
    x = 637,573.31/981.08
  6. Step 6: Final answer
    x = 649.87

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Why These Related Problems?

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