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Finding the Fourth Proportional to 895.74, 1,236.78 and 546.90

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Solution

The fourth proportional to 895.74, 1,236.78 and 546.90 is: 755.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.74 : 1,236.78 = 546.90 : x
  2. Step 2: Convert to fraction form
    895.74/1,236.78 = 546.90/x
  3. Step 3: Cross multiply
    895.74x = 1,236.78 × 546.90
  4. Step 4: Simplify right side
    895.74x = 676,394.98
  5. Step 5: Solve for x
    x = 676,394.98/895.74
  6. Step 6: Final answer
    x = 755.12

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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.