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Finding the Fourth Proportional to 1,102.18, 1,522.59 and 880.84

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Solution

The fourth proportional to 1,102.18, 1,522.59 and 880.84 is: 1,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.18 : 1,522.59 = 880.84 : x
  2. Step 2: Convert to fraction form
    1,102.18/1,522.59 = 880.84/x
  3. Step 3: Cross multiply
    1,102.18x = 1,522.59 × 880.84
  4. Step 4: Simplify right side
    1,102.18x = 1,341,158.18
  5. Step 5: Solve for x
    x = 1,341,158.18/1,102.18
  6. Step 6: Final answer
    x = 1,216.82

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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.