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Finding the Fourth Proportional to 895.88, 1,236.38 and 564.41

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Solution

The fourth proportional to 895.88, 1,236.38 and 564.41 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.88 : 1,236.38 = 564.41 : x
  2. Step 2: Convert to fraction form
    895.88/1,236.38 = 564.41/x
  3. Step 3: Cross multiply
    895.88x = 1,236.38 × 564.41
  4. Step 4: Simplify right side
    895.88x = 697,825.50
  5. Step 5: Solve for x
    x = 697,825.50/895.88
  6. Step 6: Final answer
    x = 778.93

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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.