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Finding the Fourth Proportional to 894.99, 1,235.03 and 496.64

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Solution

The fourth proportional to 894.99, 1,235.03 and 496.64 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.99 : 1,235.03 = 496.64 : x
  2. Step 2: Convert to fraction form
    894.99/1,235.03 = 496.64/x
  3. Step 3: Cross multiply
    894.99x = 1,235.03 × 496.64
  4. Step 4: Simplify right side
    894.99x = 613,356.64
  5. Step 5: Solve for x
    x = 613,356.64/894.99
  6. Step 6: Final answer
    x = 685.32

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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.