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Finding the Fourth Proportional to 1,071.83, 1,608.66 and 423.02

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Solution

The fourth proportional to 1,071.83, 1,608.66 and 423.02 is: 634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.83 : 1,608.66 = 423.02 : x
  2. Step 2: Convert to fraction form
    1,071.83/1,608.66 = 423.02/x
  3. Step 3: Cross multiply
    1,071.83x = 1,608.66 × 423.02
  4. Step 4: Simplify right side
    1,071.83x = 680,499.37
  5. Step 5: Solve for x
    x = 680,499.37/1,071.83
  6. Step 6: Final answer
    x = 634.89

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