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Finding the Fourth Proportional to 1,106.98, 1,527.41 and 841.35

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Solution

The fourth proportional to 1,106.98, 1,527.41 and 841.35 is: 1,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.98 : 1,527.41 = 841.35 : x
  2. Step 2: Convert to fraction form
    1,106.98/1,527.41 = 841.35/x
  3. Step 3: Cross multiply
    1,106.98x = 1,527.41 × 841.35
  4. Step 4: Simplify right side
    1,106.98x = 1,285,087.57
  5. Step 5: Solve for x
    x = 1,285,087.57/1,106.98
  6. Step 6: Final answer
    x = 1,160.89

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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.