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Finding the Fourth Proportional to 1,115.02, 1,538.76 and 820.86

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Solution

The fourth proportional to 1,115.02, 1,538.76 and 820.86 is: 1,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.02 : 1,538.76 = 820.86 : x
  2. Step 2: Convert to fraction form
    1,115.02/1,538.76 = 820.86/x
  3. Step 3: Cross multiply
    1,115.02x = 1,538.76 × 820.86
  4. Step 4: Simplify right side
    1,115.02x = 1,263,106.53
  5. Step 5: Solve for x
    x = 1,263,106.53/1,115.02
  6. Step 6: Final answer
    x = 1,132.81

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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.