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Finding the Fourth Proportional to 1,051.02, 1,447.11 and 953.82

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Solution

The fourth proportional to 1,051.02, 1,447.11 and 953.82 is: 1,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.02 : 1,447.11 = 953.82 : x
  2. Step 2: Convert to fraction form
    1,051.02/1,447.11 = 953.82/x
  3. Step 3: Cross multiply
    1,051.02x = 1,447.11 × 953.82
  4. Step 4: Simplify right side
    1,051.02x = 1,380,282.46
  5. Step 5: Solve for x
    x = 1,380,282.46/1,051.02
  6. Step 6: Final answer
    x = 1,313.28

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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.