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Finding the Fourth Proportional to 895.98, 1,236.34 and 522.92

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Solution

The fourth proportional to 895.98, 1,236.34 and 522.92 is: 721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.98 : 1,236.34 = 522.92 : x
  2. Step 2: Convert to fraction form
    895.98/1,236.34 = 522.92/x
  3. Step 3: Cross multiply
    895.98x = 1,236.34 × 522.92
  4. Step 4: Simplify right side
    895.98x = 646,506.91
  5. Step 5: Solve for x
    x = 646,506.91/895.98
  6. Step 6: Final answer
    x = 721.56

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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.