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Finding the Fourth Proportional to 1,103.59, 1,522.89 and 841.15

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Solution

The fourth proportional to 1,103.59, 1,522.89 and 841.15 is: 1,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.59 : 1,522.89 = 841.15 : x
  2. Step 2: Convert to fraction form
    1,103.59/1,522.89 = 841.15/x
  3. Step 3: Cross multiply
    1,103.59x = 1,522.89 × 841.15
  4. Step 4: Simplify right side
    1,103.59x = 1,280,975.12
  5. Step 5: Solve for x
    x = 1,280,975.12/1,103.59
  6. Step 6: Final answer
    x = 1,160.74

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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.