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Finding the Fourth Proportional to 1,076.81, 1,486.01 and 841.03

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Solution

The fourth proportional to 1,076.81, 1,486.01 and 841.03 is: 1,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.81 : 1,486.01 = 841.03 : x
  2. Step 2: Convert to fraction form
    1,076.81/1,486.01 = 841.03/x
  3. Step 3: Cross multiply
    1,076.81x = 1,486.01 × 841.03
  4. Step 4: Simplify right side
    1,076.81x = 1,249,777.38
  5. Step 5: Solve for x
    x = 1,249,777.38/1,076.81
  6. Step 6: Final answer
    x = 1,160.63

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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.