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Finding the Fourth Proportional to 899.63, 1,349.84 and 514.88

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Solution

The fourth proportional to 899.63, 1,349.84 and 514.88 is: 772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.63 : 1,349.84 = 514.88 : x
  2. Step 2: Convert to fraction form
    899.63/1,349.84 = 514.88/x
  3. Step 3: Cross multiply
    899.63x = 1,349.84 × 514.88
  4. Step 4: Simplify right side
    899.63x = 695,000.16
  5. Step 5: Solve for x
    x = 695,000.16/899.63
  6. Step 6: Final answer
    x = 772.54

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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.