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Finding the Fourth Proportional to 918.44, 1,267.61 and 586.77

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Solution

The fourth proportional to 918.44, 1,267.61 and 586.77 is: 809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.44 : 1,267.61 = 586.77 : x
  2. Step 2: Convert to fraction form
    918.44/1,267.61 = 586.77/x
  3. Step 3: Cross multiply
    918.44x = 1,267.61 × 586.77
  4. Step 4: Simplify right side
    918.44x = 743,795.52
  5. Step 5: Solve for x
    x = 743,795.52/918.44
  6. Step 6: Final answer
    x = 809.85

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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.