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Finding the Fourth Proportional to 1,163.34, 1,752.96 and 962.34

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Solution

The fourth proportional to 1,163.34, 1,752.96 and 962.34 is: 1,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.34 : 1,752.96 = 962.34 : x
  2. Step 2: Convert to fraction form
    1,163.34/1,752.96 = 962.34/x
  3. Step 3: Cross multiply
    1,163.34x = 1,752.96 × 962.34
  4. Step 4: Simplify right side
    1,163.34x = 1,686,943.53
  5. Step 5: Solve for x
    x = 1,686,943.53/1,163.34
  6. Step 6: Final answer
    x = 1,450.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.