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Finding the Fourth Proportional to 1,091.04, 1,504.65 and 841.74

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Solution

The fourth proportional to 1,091.04, 1,504.65 and 841.74 is: 1,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.04 : 1,504.65 = 841.74 : x
  2. Step 2: Convert to fraction form
    1,091.04/1,504.65 = 841.74/x
  3. Step 3: Cross multiply
    1,091.04x = 1,504.65 × 841.74
  4. Step 4: Simplify right side
    1,091.04x = 1,266,524.09
  5. Step 5: Solve for x
    x = 1,266,524.09/1,091.04
  6. Step 6: Final answer
    x = 1,160.84

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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.