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Finding the Fourth Proportional to 899.59, 1,350.08 and 412.67

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Solution

The fourth proportional to 899.59, 1,350.08 and 412.67 is: 619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.59 : 1,350.08 = 412.67 : x
  2. Step 2: Convert to fraction form
    899.59/1,350.08 = 412.67/x
  3. Step 3: Cross multiply
    899.59x = 1,350.08 × 412.67
  4. Step 4: Simplify right side
    899.59x = 557,137.51
  5. Step 5: Solve for x
    x = 557,137.51/899.59
  6. Step 6: Final answer
    x = 619.32

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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.