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Finding the Fourth Proportional to 895.92, 1,237.26 and 711.36

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Solution

The fourth proportional to 895.92, 1,237.26 and 711.36 is: 982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.92 : 1,237.26 = 711.36 : x
  2. Step 2: Convert to fraction form
    895.92/1,237.26 = 711.36/x
  3. Step 3: Cross multiply
    895.92x = 1,237.26 × 711.36
  4. Step 4: Simplify right side
    895.92x = 880,137.27
  5. Step 5: Solve for x
    x = 880,137.27/895.92
  6. Step 6: Final answer
    x = 982.38

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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.