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Finding the Fourth Proportional to 1,154.67, 1,728.24 and 633.36

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Solution

The fourth proportional to 1,154.67, 1,728.24 and 633.36 is: 947.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.67 : 1,728.24 = 633.36 : x
  2. Step 2: Convert to fraction form
    1,154.67/1,728.24 = 633.36/x
  3. Step 3: Cross multiply
    1,154.67x = 1,728.24 × 633.36
  4. Step 4: Simplify right side
    1,154.67x = 1,094,598.09
  5. Step 5: Solve for x
    x = 1,094,598.09/1,154.67
  6. Step 6: Final answer
    x = 947.97

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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.