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Finding the Fourth Proportional to 1,468.83, 2,026.86 and 830.73

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Solution

The fourth proportional to 1,468.83, 2,026.86 and 830.73 is: 1,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.83 : 2,026.86 = 830.73 : x
  2. Step 2: Convert to fraction form
    1,468.83/2,026.86 = 830.73/x
  3. Step 3: Cross multiply
    1,468.83x = 2,026.86 × 830.73
  4. Step 4: Simplify right side
    1,468.83x = 1,683,773.41
  5. Step 5: Solve for x
    x = 1,683,773.41/1,468.83
  6. Step 6: Final answer
    x = 1,146.34

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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.