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Finding the Fourth Proportional to 1,442.70, 2,164.46 and 468.77

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Solution

The fourth proportional to 1,442.70, 2,164.46 and 468.77 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.70 : 2,164.46 = 468.77 : x
  2. Step 2: Convert to fraction form
    1,442.70/2,164.46 = 468.77/x
  3. Step 3: Cross multiply
    1,442.70x = 2,164.46 × 468.77
  4. Step 4: Simplify right side
    1,442.70x = 1,014,620.75
  5. Step 5: Solve for x
    x = 1,014,620.75/1,442.70
  6. Step 6: Final answer
    x = 703.28

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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.