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Finding the Fourth Proportional to 1,442.55, 2,164.27 and 468.73

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Solution

The fourth proportional to 1,442.55, 2,164.27 and 468.73 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.55 : 2,164.27 = 468.73 : x
  2. Step 2: Convert to fraction form
    1,442.55/2,164.27 = 468.73/x
  3. Step 3: Cross multiply
    1,442.55x = 2,164.27 × 468.73
  4. Step 4: Simplify right side
    1,442.55x = 1,014,458.28
  5. Step 5: Solve for x
    x = 1,014,458.28/1,442.55
  6. Step 6: Final answer
    x = 703.24

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Why These Related Problems?

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