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Finding the Fourth Proportional to 1,442.93, 2,164.38 and 469.07

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Solution

The fourth proportional to 1,442.93, 2,164.38 and 469.07 is: 703.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.93 : 2,164.38 = 469.07 : x
  2. Step 2: Convert to fraction form
    1,442.93/2,164.38 = 469.07/x
  3. Step 3: Cross multiply
    1,442.93x = 2,164.38 × 469.07
  4. Step 4: Simplify right side
    1,442.93x = 1,015,245.73
  5. Step 5: Solve for x
    x = 1,015,245.73/1,442.93
  6. Step 6: Final answer
    x = 703.60

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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.