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Finding the Fourth Proportional to 899.10, 1,240.68 and 506.10

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Solution

The fourth proportional to 899.10, 1,240.68 and 506.10 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.10 : 1,240.68 = 506.10 : x
  2. Step 2: Convert to fraction form
    899.10/1,240.68 = 506.10/x
  3. Step 3: Cross multiply
    899.10x = 1,240.68 × 506.10
  4. Step 4: Simplify right side
    899.10x = 627,908.15
  5. Step 5: Solve for x
    x = 627,908.15/899.10
  6. Step 6: Final answer
    x = 698.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.