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Finding the Fourth Proportional to 1,100.52, 1,518.90 and 838.04

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Solution

The fourth proportional to 1,100.52, 1,518.90 and 838.04 is: 1,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.52 : 1,518.90 = 838.04 : x
  2. Step 2: Convert to fraction form
    1,100.52/1,518.90 = 838.04/x
  3. Step 3: Cross multiply
    1,100.52x = 1,518.90 × 838.04
  4. Step 4: Simplify right side
    1,100.52x = 1,272,898.96
  5. Step 5: Solve for x
    x = 1,272,898.96/1,100.52
  6. Step 6: Final answer
    x = 1,156.63

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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.