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Finding the Fourth Proportional to 1,263.14, 1,737.86 and 1,113.09

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Solution

The fourth proportional to 1,263.14, 1,737.86 and 1,113.09 is: 1,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.14 : 1,737.86 = 1,113.09 : x
  2. Step 2: Convert to fraction form
    1,263.14/1,737.86 = 1,113.09/x
  3. Step 3: Cross multiply
    1,263.14x = 1,737.86 × 1,113.09
  4. Step 4: Simplify right side
    1,263.14x = 1,934,389.02
  5. Step 5: Solve for x
    x = 1,934,389.02/1,263.14
  6. Step 6: Final answer
    x = 1,531.41

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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.