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Finding the Fourth Proportional to 874.99, 1,311.89 and 435.68

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Solution

The fourth proportional to 874.99, 1,311.89 and 435.68 is: 653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.99 : 1,311.89 = 435.68 : x
  2. Step 2: Convert to fraction form
    874.99/1,311.89 = 435.68/x
  3. Step 3: Cross multiply
    874.99x = 1,311.89 × 435.68
  4. Step 4: Simplify right side
    874.99x = 571,564.24
  5. Step 5: Solve for x
    x = 571,564.24/874.99
  6. Step 6: Final answer
    x = 653.22

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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.