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Finding the Fourth Proportional to 1,633.13, 2,447.70 and 707.60

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Solution

The fourth proportional to 1,633.13, 2,447.70 and 707.60 is: 1,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.13 : 2,447.70 = 707.60 : x
  2. Step 2: Convert to fraction form
    1,633.13/2,447.70 = 707.60/x
  3. Step 3: Cross multiply
    1,633.13x = 2,447.70 × 707.60
  4. Step 4: Simplify right side
    1,633.13x = 1,731,992.52
  5. Step 5: Solve for x
    x = 1,731,992.52/1,633.13
  6. Step 6: Final answer
    x = 1,060.54

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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.