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Finding the Fourth Proportional to 895.55, 1,233.04 and 813.54

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Solution

The fourth proportional to 895.55, 1,233.04 and 813.54 is: 1,120.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.55 : 1,233.04 = 813.54 : x
  2. Step 2: Convert to fraction form
    895.55/1,233.04 = 813.54/x
  3. Step 3: Cross multiply
    895.55x = 1,233.04 × 813.54
  4. Step 4: Simplify right side
    895.55x = 1,003,127.36
  5. Step 5: Solve for x
    x = 1,003,127.36/895.55
  6. Step 6: Final answer
    x = 1,120.12

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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.