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Finding the Fourth Proportional to 895.76, 1,236.22 and 564.08

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Solution

The fourth proportional to 895.76, 1,236.22 and 564.08 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.76 : 1,236.22 = 564.08 : x
  2. Step 2: Convert to fraction form
    895.76/1,236.22 = 564.08/x
  3. Step 3: Cross multiply
    895.76x = 1,236.22 × 564.08
  4. Step 4: Simplify right side
    895.76x = 697,326.98
  5. Step 5: Solve for x
    x = 697,326.98/895.76
  6. Step 6: Final answer
    x = 778.48

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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.