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Finding the Fourth Proportional to 918.27, 1,267.11 and 581.76

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Solution

The fourth proportional to 918.27, 1,267.11 and 581.76 is: 802.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.27 : 1,267.11 = 581.76 : x
  2. Step 2: Convert to fraction form
    918.27/1,267.11 = 581.76/x
  3. Step 3: Cross multiply
    918.27x = 1,267.11 × 581.76
  4. Step 4: Simplify right side
    918.27x = 737,153.91
  5. Step 5: Solve for x
    x = 737,153.91/918.27
  6. Step 6: Final answer
    x = 802.76

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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.