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Finding the Fourth Proportional to 895.97, 1,237.04 and 685.76

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Solution

The fourth proportional to 895.97, 1,237.04 and 685.76 is: 946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.97 : 1,237.04 = 685.76 : x
  2. Step 2: Convert to fraction form
    895.97/1,237.04 = 685.76/x
  3. Step 3: Cross multiply
    895.97x = 1,237.04 × 685.76
  4. Step 4: Simplify right side
    895.97x = 848,313.76
  5. Step 5: Solve for x
    x = 848,313.76/895.97
  6. Step 6: Final answer
    x = 946.82

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