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Finding the Fourth Proportional to 1,472.64, 2,031.72 and 843.12

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Solution

The fourth proportional to 1,472.64, 2,031.72 and 843.12 is: 1,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.64 : 2,031.72 = 843.12 : x
  2. Step 2: Convert to fraction form
    1,472.64/2,031.72 = 843.12/x
  3. Step 3: Cross multiply
    1,472.64x = 2,031.72 × 843.12
  4. Step 4: Simplify right side
    1,472.64x = 1,712,983.77
  5. Step 5: Solve for x
    x = 1,712,983.77/1,472.64
  6. Step 6: Final answer
    x = 1,163.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.