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Finding the Fourth Proportional to 899.22, 1,348.98 and 460.76

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Solution

The fourth proportional to 899.22, 1,348.98 and 460.76 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.22 : 1,348.98 = 460.76 : x
  2. Step 2: Convert to fraction form
    899.22/1,348.98 = 460.76/x
  3. Step 3: Cross multiply
    899.22x = 1,348.98 × 460.76
  4. Step 4: Simplify right side
    899.22x = 621,556.02
  5. Step 5: Solve for x
    x = 621,556.02/899.22
  6. Step 6: Final answer
    x = 691.22

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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.