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Finding the Fourth Proportional to 899.02, 1,240.56 and 506.08

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Solution

The fourth proportional to 899.02, 1,240.56 and 506.08 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.02 : 1,240.56 = 506.08 : x
  2. Step 2: Convert to fraction form
    899.02/1,240.56 = 506.08/x
  3. Step 3: Cross multiply
    899.02x = 1,240.56 × 506.08
  4. Step 4: Simplify right side
    899.02x = 627,822.60
  5. Step 5: Solve for x
    x = 627,822.60/899.02
  6. Step 6: Final answer
    x = 698.34

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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.