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Finding the Fourth Proportional to 1,113.72, 1,667.49 and 838.98

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Solution

The fourth proportional to 1,113.72, 1,667.49 and 838.98 is: 1,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.72 : 1,667.49 = 838.98 : x
  2. Step 2: Convert to fraction form
    1,113.72/1,667.49 = 838.98/x
  3. Step 3: Cross multiply
    1,113.72x = 1,667.49 × 838.98
  4. Step 4: Simplify right side
    1,113.72x = 1,398,990.76
  5. Step 5: Solve for x
    x = 1,398,990.76/1,113.72
  6. Step 6: Final answer
    x = 1,256.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.