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Finding the Fourth Proportional to 1,106, 1,665.58 and 963.44

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Solution

The fourth proportional to 1,106, 1,665.58 and 963.44 is: 1,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106 : 1,665.58 = 963.44 : x
  2. Step 2: Convert to fraction form
    1,106/1,665.58 = 963.44/x
  3. Step 3: Cross multiply
    1,106x = 1,665.58 × 963.44
  4. Step 4: Simplify right side
    1,106x = 1,604,686.40
  5. Step 5: Solve for x
    x = 1,604,686.40/1,106
  6. Step 6: Final answer
    x = 1,450.89

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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.