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Finding the Fourth Proportional to 1,150.13, 1,722.51 and 841.21

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Solution

The fourth proportional to 1,150.13, 1,722.51 and 841.21 is: 1,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.13 : 1,722.51 = 841.21 : x
  2. Step 2: Convert to fraction form
    1,150.13/1,722.51 = 841.21/x
  3. Step 3: Cross multiply
    1,150.13x = 1,722.51 × 841.21
  4. Step 4: Simplify right side
    1,150.13x = 1,448,984.02
  5. Step 5: Solve for x
    x = 1,448,984.02/1,150.13
  6. Step 6: Final answer
    x = 1,259.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.