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Finding the Fourth Proportional to 899.89, 1,348.41 and 509.87

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Solution

The fourth proportional to 899.89, 1,348.41 and 509.87 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.89 : 1,348.41 = 509.87 : x
  2. Step 2: Convert to fraction form
    899.89/1,348.41 = 509.87/x
  3. Step 3: Cross multiply
    899.89x = 1,348.41 × 509.87
  4. Step 4: Simplify right side
    899.89x = 687,513.81
  5. Step 5: Solve for x
    x = 687,513.81/899.89
  6. Step 6: Final answer
    x = 764.00

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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.