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Finding the Fourth Proportional to 895.77, 1,235.60 and 563.62

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Solution

The fourth proportional to 895.77, 1,235.60 and 563.62 is: 777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,235.60 = 563.62 : x
  2. Step 2: Convert to fraction form
    895.77/1,235.60 = 563.62/x
  3. Step 3: Cross multiply
    895.77x = 1,235.60 × 563.62
  4. Step 4: Simplify right side
    895.77x = 696,408.87
  5. Step 5: Solve for x
    x = 696,408.87/895.77
  6. Step 6: Final answer
    x = 777.44

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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.