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Finding the Fourth Proportional to 895.27, 1,235.40 and 496.95

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Solution

The fourth proportional to 895.27, 1,235.40 and 496.95 is: 685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.27 : 1,235.40 = 496.95 : x
  2. Step 2: Convert to fraction form
    895.27/1,235.40 = 496.95/x
  3. Step 3: Cross multiply
    895.27x = 1,235.40 × 496.95
  4. Step 4: Simplify right side
    895.27x = 613,932.03
  5. Step 5: Solve for x
    x = 613,932.03/895.27
  6. Step 6: Final answer
    x = 685.75

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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.