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Finding the Fourth Proportional to 1,106.84, 1,527.54 and 641

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Solution

The fourth proportional to 1,106.84, 1,527.54 and 641 is: 884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.84 : 1,527.54 = 641 : x
  2. Step 2: Convert to fraction form
    1,106.84/1,527.54 = 641/x
  3. Step 3: Cross multiply
    1,106.84x = 1,527.54 × 641
  4. Step 4: Simplify right side
    1,106.84x = 979,153.14
  5. Step 5: Solve for x
    x = 979,153.14/1,106.84
  6. Step 6: Final answer
    x = 884.64

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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.