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Finding the Fourth Proportional to 1,111.37, 1,526.82 and 994.86

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Solution

The fourth proportional to 1,111.37, 1,526.82 and 994.86 is: 1,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.37 : 1,526.82 = 994.86 : x
  2. Step 2: Convert to fraction form
    1,111.37/1,526.82 = 994.86/x
  3. Step 3: Cross multiply
    1,111.37x = 1,526.82 × 994.86
  4. Step 4: Simplify right side
    1,111.37x = 1,518,968.41
  5. Step 5: Solve for x
    x = 1,518,968.41/1,111.37
  6. Step 6: Final answer
    x = 1,366.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.