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Finding the Fourth Proportional to 1,173.69, 1,615.41 and 841.59

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Solution

The fourth proportional to 1,173.69, 1,615.41 and 841.59 is: 1,158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.69 : 1,615.41 = 841.59 : x
  2. Step 2: Convert to fraction form
    1,173.69/1,615.41 = 841.59/x
  3. Step 3: Cross multiply
    1,173.69x = 1,615.41 × 841.59
  4. Step 4: Simplify right side
    1,173.69x = 1,359,512.90
  5. Step 5: Solve for x
    x = 1,359,512.90/1,173.69
  6. Step 6: Final answer
    x = 1,158.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.