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Finding the Fourth Proportional to 890.68, 1,327.06 and 841

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Solution

The fourth proportional to 890.68, 1,327.06 and 841 is: 1,253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.68 : 1,327.06 = 841 : x
  2. Step 2: Convert to fraction form
    890.68/1,327.06 = 841/x
  3. Step 3: Cross multiply
    890.68x = 1,327.06 × 841
  4. Step 4: Simplify right side
    890.68x = 1,116,057.46
  5. Step 5: Solve for x
    x = 1,116,057.46/890.68
  6. Step 6: Final answer
    x = 1,253.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.