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Finding the Fourth Proportional to 1,065.31, 1,469.56 and 733.16

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Solution

The fourth proportional to 1,065.31, 1,469.56 and 733.16 is: 1,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.31 : 1,469.56 = 733.16 : x
  2. Step 2: Convert to fraction form
    1,065.31/1,469.56 = 733.16/x
  3. Step 3: Cross multiply
    1,065.31x = 1,469.56 × 733.16
  4. Step 4: Simplify right side
    1,065.31x = 1,077,420.14
  5. Step 5: Solve for x
    x = 1,077,420.14/1,065.31
  6. Step 6: Final answer
    x = 1,011.37

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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.