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Finding the Fourth Proportional to 1,114.99, 1,537.85 and 938.89

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Solution

The fourth proportional to 1,114.99, 1,537.85 and 938.89 is: 1,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.99 : 1,537.85 = 938.89 : x
  2. Step 2: Convert to fraction form
    1,114.99/1,537.85 = 938.89/x
  3. Step 3: Cross multiply
    1,114.99x = 1,537.85 × 938.89
  4. Step 4: Simplify right side
    1,114.99x = 1,443,859.60
  5. Step 5: Solve for x
    x = 1,443,859.60/1,114.99
  6. Step 6: Final answer
    x = 1,294.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.